{"id":29,"date":"2021-06-24T14:34:34","date_gmt":"2021-06-24T05:34:34","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/cbr\/?page_id=29"},"modified":"2026-04-10T23:29:13","modified_gmt":"2026-04-10T14:29:13","slug":"papers","status":"publish","type":"page","link":"https:\/\/mathematicians.korea.ac.kr\/cbr\/papers\/","title":{"rendered":"Papers"},"content":{"rendered":"
    \n
  1. The reproducing kernel thesis for difference of Hardy-space composition operators over the ball (with K. Choi, H. Koo and I. Park)<\/span>, preprint.<\/a><\/li>\n
  2. Littlewood-Paley type estimates and applications to composition operators (with H. Koo, E. Pozzi and W. Smith<\/span>), preprint.<\/a><\/li>\n
  3. Linear connection in the space of composition operators over the ball (with H. Koo, W. Smith and P. T. Tien<\/span>), preprint.<\/a><\/li>\n
  4. Schatten class difference of composition operators on the Bergman space (with K. Choi, H. Koo, and I. Park<\/span>), Complex Analysis and Operator Theory, to appear.<\/a><\/li>\n
  5. Compact difference of Fejer-Riesz composition operators (with H. Koo and W. Smith<\/span>), Potential Analysis, 63(4)(2025), 2001–2018<\/a><\/li>\n
  6. Hilbert-Schmidt double differences of composition operators and non-rigid phenomenon (with X.Guo, T. Hosokawa, H. Koo, S. Ohno and M. Wang<\/span>), J. Math. Anal. Appl. 543(March 2025), Article 128843(40p)<\/a><\/li>\n
  7. Difference of weighted composition operators over the ball (with K. Choi, H. Koo and I. Park<\/span>), Complex Analysis and Operator Theory, 18(Feb 2024)<\/span>, Article 33(33p)<\/span><\/a><\/li>\n
  8. Compact difference of composition operators on the Hardy spaces (with K. Choi, H. Koo and I. Park<\/span>), Trans. Amer. Math. Soc. Series B 9 (2022), 733-756<\/a><\/li>\n
  9. Linear connection between composition operators on the Hardy space (with K. Choi, H. Koo and I. Park<\/span>), J. Math. Anal. Appl. 515(1) (Nov 2022), Article 126402(39p)<\/a><\/li>\n
  10. Invariant mean value property and M-harmonicity on the half-space (with K. Nam<\/span>), Bull. Korean Math. Soc. 58(3) (May 2021), 559-572<\/a><\/li>\n
  11. Difference of weighted composition operators II (with K. Choi, H. Koo and J. Yang<\/span>), Integral Equations Operator Theory 93(2) (Apr 2021), Article: 17(19p)<\/a><\/li>\n
  12. Path components of composition operators over the half-plane (with H. Koo, W. Smith and P. T. Tien<\/span>), J. Math. Anal. Appl. 497(2) (May 2021), Article: 124861(35p)<\/a><\/li>\n
  13. Difference of weighted composition operators (with K. Choi, H. Koo and J. Yang<\/span>), J. Functional Analysis 278(5) (Mar 2020), Article: 108401(38p)<\/a><\/li>\n
  14. Compact linear combination of composition operators on Bergman spaces (with H. Koo and W. Maofa<\/span>), J. Functional Analysis 278(5) (Mar 2020), Article:108393(36p)<\/a><\/li>\n
  15. New characterizations for the weighted Fock spaces (with K. Nam), Complex Analysis and Operator Theory 13(6) (Sep 2019), 2671-2686<\/a><\/li>\n
  16.  <\/b>Compact double differences of composition operators on the Bergman spaces over the ball(with H. Koo and J. Yang<\/span>), Tohoku Math. J. 71(4) (Dec 2019), 609-637<\/a><\/li>\n
  17. Linear fractional composition operators over the half-plane (with H. Koo and W. Smith<\/span>), Integral Equations Operator Theory 90(3) (Jun 2018), Article:27(32p)<\/a><\/li>\n
  18.  <\/b>Sarason’s composition operator over the half-plane (with H. Koo and W. Smith<\/span>), J. Math. Anal. Appl. 462 (Jun 2018)(2), 1309-1341<\/a><\/li>\n
  19. Difference of composition operators over the half-plane (with H. Koo and W. Smith<\/span>), Trans. Amer. Math. Soc. 369(5) (May 2017), 3173-3205<\/a><\/li>\n
  20. Compact double differences of composition operators on the Bergman spaces (with H. Koo and M. Wang<\/span>), J. Functional Analysis 272(Mar 2017), 2273-2307<\/a><\/li>\n
  21. Compact linear combinations of composition operators induced by linear fractional maps (with H. Koo, M. Wang and J. Yang<\/span>), Math. Z. 280(3) (Aug 2015), 807-824<\/a><\/li>\n
  22. <\/b> Fock-Sobolev spaces of fractional order (with H. Cho and H. Koo<\/span>), Potential Analysis 43(2)(Aug 2015), 199-240<\/a><\/li>\n
  23.  <\/b>Commuting Toeplitz operators with pluriharmonic symbols on the Fock space, (with W. Bauer and H. Koo<\/span>), J. Functional Analysis 268(10) (May 2015), 3017-3060<\/a><\/li>\n
  24. Composition as an integral operator (with H. Koo and W. Smith<\/span>), Advances in Math. 273(Mar 2015), 149-187<\/a><\/li>\n
  25. Linear combinations of composition operators on the Fock-Sobolev spaces (with H. Cho and H. Koo<\/span>), Potential Analysis 41(Nov 2014), 1223-1246<\/a><\/li>\n
  26. Commutants of Toeplitz operators with radial symbols on the Fock-Sobole space (with J. Yang<\/span>), J. Math. Anal. Appl. 415(Jul 2014), 779-790<\/a><\/li>\n
  27.  <\/b>Compact differences of composition operators on the Bergman spaces over the ball (with H. Koo and I. Park<\/span>), Potential Analysis 40(Jan 2014), 81-102<\/a><\/li>\n
  28. Weak Hopf lemma for the invariant Laplacian and related elliptic operators (with S. Cho and H. Koo<\/span>), J. Math. Anal. Appl. 408(Dec 2013), 576-588<\/a><\/li>\n
  29. Hardy Carleson measures and their dual Poisson-Szego transforms (with K. Izuchi and H. Koo<\/span>), Potential Analysis 38(Jan 2013), 143-168<\/a><\/li>\n
  30. Compact differences of composition operators over polydisks (with H. Koo and I. Park), Integral Equations Operator Theory 73(1) (May 2012), 57-91<\/a><\/li>\n
  31.  <\/b>Hilbert Schmidt differences of composition operators on the Bergman space (with T. Hosokawa and H. Koo<\/span>), Math. Z. 269(Dec 2011), 751-775<\/a><\/li>\n
  32. A note on composition operators acting on holomorphic Sobolev spaces (with H. Koo and W. Smith<\/span>), Proc. Amer. Math. Soc. 139(Dec 2011), 4369-4375<\/a><\/li>\n
  33.  <\/b>Toeplitz products with pluriharmonic symbols on the Hardy space over the ball (with H. Koo and Y. J. Lee<\/span>), J. Math. Anal. Appl. 381(Sep 2011), 365-382<\/a><\/li>\n
  34.  <\/b>Double integral characterizations of harmonic Bergman spaces (with K. Nam<\/span>), J. Math. Anal. Appl. 379(Jul 2011) 889-909<\/a><\/li>\n
  35. Finite rank products of Toeplitz operators on the harmonic Bergman space (with H. Koo and K. Na<\/span>), Rocky Mountain J. Math.41(1)(Jan 2011), 45-78<\/a><\/li>\n
  36. Positive Schatten-Herz class Toeplitz operators on the ball (with H. Koo and Y. J. Lee<\/span>), New York J. Math. 17a (Jan 2011), 113-125<\/a><\/li>\n
  37. Linear sums of two composition operators on the Fock space (with Kohei Izuchi and H. Koo<\/span>), J. Math. Anal. Appl. 369(1)(Sep 2010), 112-119<\/a><\/li>\n
  38. Optimal norm estimate of operators related to the harmonic Bergman projection on the ball (with H. Koo and K. Nam<\/span>), Tohoku Math. J. 62(Sep. 2010), 357-374<\/a><\/li>\n
  39. Carleson measures for Bergman spaces and their dual Berezin transforms (with H. Koo and M. Stessin<\/span>), Proc. Amer. Math. Soc. 137(12)(Dec 2009), 4143-4155<\/a><\/li>\n
  40. Berezin transform and Toeplitz operators on harmonic Bergman spaces (with K. Nam<\/span>), J. Functional Analysis 257(10)(Nov 2009), 3135-3166<\/a><\/li>\n
  41. Finite sums of Toeplitz products on the polydisk (with H. Koo and Y. J. Lee<\/span>), Potential Analysis 31(3)(Oct 2009), 227-255<\/a><\/li>\n
  42. Finite rank product theorems for Toeplitz operators on the half-space (with H. Koo and K. Nam<\/span>), J. Math. Soc. Japan 61(3)(Jul 2009), 885-919<\/a><\/li>\n
  43. Carleson measures via BMO (with H. Koo and M. Stessin<\/span>), Integral Equations Operator Theory 63(4)(Apr 2009), 501-520<\/a><\/li>\n
  44. On higher dimensional Luecking’s theorem, J. Math. Soc. Japan 61(1)(Jan 2009), 213-224<\/a><\/li>\n
  45. Positive Schatten class Toeplitz operators on the ball (with H. Koo and Y. J. Lee<\/span>), Studia Math. 189(1)(Nov 2008), 65-90<\/a><\/li>\n
  46. Finite rank Toeplitz products with harmonic symbols (with H. Koo and Y. J. Lee<\/span>), J. Math. Anal. Appl. 343(Jul 2008), 81-98<\/a><\/li>\n
  47. Sums of Toeplitz products with harmonic symbols (with H. Koo and Y. J. Lee<\/span>), Revista Mat. Iberoamericana 24(1)(Apr 2008), 43-70<\/a><\/li>\n
  48. Carleson measures for the area Nevanlinna spaces and applications (with H. Koo and W. Smith<\/span>), J. Anal. Math.104(1) (Jan 2008), 207-233<\/a><\/li>\n
  49. Note on atomic decompositions of harmonic Bergman functions (with Y. J. Lee<\/span>), Proceedings of the 15th ICFIDCAA; Complex Analysis and its Applications, Osaka Municipal Universities Press, OCAMI Studies Series 2(2007), 11-24.<\/li>\n
  50. Toeplitz operators and Herz spaces on the half-space (with K. S. Nam<\/span>), Integral Equations Operator Theory 59(4)(Dec 2007), 501-521<\/a><\/li>\n
  51. Positive Schatten(-Herz) class Toeplitz operators on the half-space (with H. Koo and Y. J. Lee<\/span>), Potential Analysis 27(1)(Aug 2007), 73-100<\/a><\/li>\n
  52. Positive Toeplitz operators of Schatten-Herz type (with H. Koo and K. Na), Nagoya Math. J. 185(2007), 31-62<\/a><\/li>\n
  53. Zero products of Toeplitz operators with n-harmonic symbols (with H. Koo and Y. J. Lee<\/span>), Integral Equations Operator Theory 57(2007), 43-66<\/a><\/li>\n
  54.  <\/b>Products of Bergman space Toeplitz operators on the polydisk (with Y. J. Lee, K. Nam and D. Zheng<\/span>), Math. Ann. 337(2007), 295-316<\/a><\/li>\n
  55.  <\/b>Note on the Berezin transform on Herz spaces, RIMS Kyokuroku 1519(2006), 21-37<\/li>\n
  56. Composition operators on small spaces (with H. Koo and W. Smith<\/span>), Integral Equations Operator Theory 56(3)(2006), 357-380<\/a><\/li>\n
  57. Note on commuting Toeplitz operators on the pluriharmonic Bergman space (with K. S. Nam), J. Korean Math. Soc. 43(2006), No. 2, 259-269<\/li>\n
  58. Zero products of Toeplitz operators with harmonic symbols (with H. Koo<\/span>), J. Functional Analysis 233(2006), No. 2, 307-334<\/a><\/li>\n
  59. Commutants of analytic Toeplitz operators on the harmonic Bergman space (with Y. J. Lee<\/span>), Integral Equations Operator Theory 50(2004), 559-564<\/a><\/li>\n
  60. Projections for harmonic Bergman spaces and applications (with H. Koo and H. Yi<\/span>), J. Functional Analysis 216(2) (2004), 388-421<\/a><\/li>\n
  61. Toeplitz operators on harmonic Bergman spaces (with Y. J. Lee and K. Na<\/span>), Nagoya Math. J. 174(2004), 165-186<\/a><\/li>\n
  62. Positive Toeplitz operators from a harmonic Bergman space into another (with Y. J. Lee and K. Na<\/span>), Tohoku Math. J. 56(2004), 255-270<\/a><\/li>\n
  63.  <\/b>Commuting Toeplitz operators on the polydisk (with H. Koo and Y. J. Lee<\/span>), Trans. Amer. Math. Soc. 356(2004), 1727-1749<\/a><\/li>\n
  64.  <\/b>Moment vanishing properties of harmonic Bergman functions (with H. Koo and H. Yi<\/span>), J. Math. Anal. Appl. 296(2)(2003), 365-381<\/a><\/li>\n
  65. Composition operators acting on holomorphic Sobolev spaces (with H. Koo and W. Smith<\/span>), Trans. Amer. Math. Soc. 355(2003), 2829-2855<\/a><\/li>\n
  66.  <\/b>Harmonic Bergman Functions as Radial Derivatives of Bergman Functions (with H. Koo and H. Yi<\/span>), Proc. Amer. Math. Soc. 131(2003), 401-408<\/a><\/li>\n
  67. Carleson type conditions and weghted inequalities for harmonic functions (with H. Koo and H. Yi<\/span>), Osaka J. Math. 39(2002), 945-962<\/li>\n
  68. Positive Toeplitz operators between the harmonic Bergman spaces (with H. Koo and H. Yi<\/span>), Potential Analysis 17(2002), 307-335<\/a><\/li>\n
  69. Derivatives of harmonic Bergman and Bloch functions on the ball (with H. Koo and H. Yi<\/span>), J. Math. Anal. Appl. 260(2001), 100-123<\/a><\/li>\n
  70. The numerical range and normality of Toeplitz operators (with Y. J. Lee<\/span>), Far East J. Math., Special Volume(2001), Part I, 71-80<\/li>\n
  71. Bergman norm estimates of Poisson integrals (with H. Koo and H. Yi<\/span>), Nagoya Math. J. 161(2001), 85-125<\/a><\/li>\n
  72. Gleason’s problem for harmonic Bergman and Bloch functions on half-spaces (with H. Koo and H. Yi<\/span>), Integral Equations Operator Theory 36(2000), 269-287<\/a><\/li>\n
  73. Images of Hankel operators on the polydisk (with Y. J. Lee<\/span>), Bull. Australian Math. Soc. 59(1999), 403-40<\/a>8<\/li>\n
  74. Commuting Toeplitz operators on the harmonic Bergman space (with Y. J. Lee<\/span>), Michigan Math. J. 46(1999) 163-174<\/a><\/li>\n
  75. Representation and interpolation theorems of harmonic Bergman functions on half-spaces (with H. Yi<\/span>), Nagoya Math. J. 151(1998), 51-89<\/a><\/li>\n
  76.  <\/b>Pluriharmonic symbols of essentially commuting Toeplitz operators (with Y. J. Lee<\/span>), Illinois J. Math. 42(1998), 280-293<\/a><\/li>\n
  77. On $\\mathcal M$-harmonic functions and their Carleson measures (with Y. J. Lee<\/span>), Glasgow Math. J. 40(1998), 273-289<\/a><\/li>\n
  78.  <\/b>Bloch-to-BMOA pullbacks on the disk (with W. Ramey & D. Ullrich<\/span>), Proc. Amer. Math. Soc. 125(1997), 2987-2996<\/a><\/li>\n
  79. The essential spectra of Toeplitz operators with symbols in H^\\infty +C (with Y. J. Lee<\/span>), Math. Japonica 45(1)(1997), 1-4<\/li>\n
  80. Fractional derivatives of Bloch functions, growth rate, and interpolation (with K. S. Rim<\/span>), Acta Math. Hungarica 72(1-2)(1996), 67-86<\/a><\/li>\n
  81. Norm and essential norm estimates of Toeplitz operators on the Bergman space (with Y. J. Lee<\/span>), Comm. Korean Math. Soc. 11(1996), No.4, 937-958<\/li>\n
  82. A Luecking type subspace, dualities and Toeplitz operators (with Y. J. Lee<\/span>), Acta Math. Hungarica 67(1995), 151-170<\/a><\/li>\n
  83. Compact Toeplitz operators with bounded symbols on the Bergman spaces (with Y. J. Lee<\/span>), J. Korean Math. Soc. 3(1994), 289-307<\/li>\n
  84. Pluriharmonic symbols of commuting Toeplitz operators (with Y. J. Lee<\/span>), Illinois J. Math. 37(1993), 424-436<\/a><\/li>\n
  85. Bocher’s theorem for M-harmonic functions, Houston J. Math. 18(1993), 539-549<\/a><\/li>\n
  86. On the boundary behavior of functions holomorphic on the ball (with H. O. Kim<\/span>), Complex Variables 20(1992), 53-62<\/a><\/li>\n
  87. The essential norms of composition operators, Glasgow Math. J. 34(1992), 143-155<\/a><\/li>\n
  88. A Functional equation of Pexider type, Funcialaj Ekvacioj 35 (1992), 255-259<\/a><\/li>\n
  89. Composition with a homogeneous polynomial (with J. S. Choa<\/span>), Bull. Korean Math. Soc. 29(1992), 57-63<\/li>\n
  90. A Littlewood-Paley type identity and a characterization of BMOA (with J. S. Choa<\/span>), Complex Variables 17(1991), 15-23<\/a><\/li>\n
  91. Derivatives of Hardy functions, Proc. Amer. Math. Soc. 110(1990), 781-788<\/a><\/li>\n
  92. Projections, the weighted Bergman spaces, and the Bloch space, Proc. Amer. Math. Soc. 108(1990 ), 127-136<\/a><\/li>\n
  93. An integral mean inequality for Hadamard products on the polydisc, Complex Variables 13(1990), 213-215<\/a><\/li>\n
  94. Cauchy integral equalities and applications, Trans. Amer. Math. Soc. 315(1989), 337-352<\/a><\/li>\n
  95.  <\/b>Composition property of holomorphic functions on the ball, Michigan Math. J. 36(1989), 289-301<\/a><\/li>\n
  96. Weights induced by homogneous polynomials, Pacific J. Math. 139(1989), 225-240<\/a><\/li>\n
  97. Composition with bounded holomorphic functions, PhD Thesis (supervised by W. Rudin), University of Wisconsin, Madison, 1988.<\/li>\n
  98. An elementary proof of $\\sum n^{-2}=\\pi^2 \/6$, Amer. Math. Monthly 94(1987), 662-663<\/li>\n<\/ol>\n

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    The reproducing kernel thesis for difference of Hardy-space composition operators over the ball (with K. Choi, H. Koo and I. Park), preprint. Littlewood-Paley type estimates and applications to composition operators (with H. Koo, E. Pozzi and W. Smith), preprint. Linear … \uacc4\uc18d \uc77d\uae30 →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-29","page","type-page","status-publish","hentry"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"\ucd5c\ubd80\ub9bc Boorim Choe","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/cbr","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/pages\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":104,"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/pages\/29\/revisions"}],"predecessor-version":[{"id":283,"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/pages\/29\/revisions\/283"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/cbr\/wp-json\/wp\/v2\/media?parent=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}