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Essential norm of the composition operators between Bergman spaces of logarithmic weights

이진기|권언근
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회보 (Bulletin of the KMS)|제54권 제1호|pp. 187-198

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키워드

composition operatoressential normBergman spacelogarithmic weighted
주제분류수학

초록

We obtain some necessary and sufficient conditions for the boundedness of the composition operators between weighted Bergman spaces of logarithmic weights. In terms of the conditions for the boundedness, we compute the essential norm of the composition operators.

Abstract

We obtain some necessary and sufficient conditions for the boundedness of the composition operators between weighted Bergman spaces of logarithmic weights. In terms of the conditions for the boundedness, we compute the essential norm of the composition operators.

참고문헌 (6)

  1. C. C. Cowen, "Composition Operators on Spaces of Analytic Func-tions" (1995), CRC Press
  2. E. G. Kwon, "Composition operators between Bergman Spaces of logarithmic weights", Internat. J. Math, 26(9), pp.14~ (2015)
  3. "Trace class criteria for Toeplitz and composition operators on small Bergman spaces"[URL]
  4. F. P´erez-Gonz´alez, "On composition operators acting between Hardy and weighted Beregman spaces", Expo. Math, 25(4), pp.309~323 (2007)
  5. J. H. Shapiro, "The essential norm of a composition operator", Ann. Math, 127(2), pp.375~404 (1987)
  6. W. Smith, "Composition operators between Bergman and Hardy spaces", Trans. Amer. Math. Soc, 348(6), pp.2331~2348 (1996)

관련 논문AI추천

Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회보2010 · 제47권 제3호WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회지2008 · 제45권 제4호Bounded composition operators from the Bergman space to the Hardy spaceKazuhiro Kasuga, Takahiko Nakazi대한수학회 · 대한수학회보2014 · 제51권 제4호Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spacesAjay K. Sharma, Elina Subhadarsini, Mehak Sharma대한수학회 · 대한수학회논문집2018 · 제33권 제4호A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACESJizhen Zhou, Songxiao Li대한수학회 · 대한수학회보2015 · 제52권 제5호

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