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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.
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참고문헌 (6)
참고문헌 신청
C. C. Cowen / 1995 / Composition Operators on Spaces of Analytic Func-tions / CRC Press
E. G. Kwon / 2015 / Composition operators between Bergman Spaces of logarithmic weights / Internat. J. Math 26 (9) : 14 ~
F. P´erez-Gonz´alez / 2007 / On composition operators acting between Hardy and weighted Beregman spaces / Expo. Math 25 (4) : 309 ~ 323
J. A. Pel´aez / / Trace class criteria for Toeplitz and composition operators on small Bergman spaces
J. H. Shapiro / 1987 / The essential norm of a composition operator / Ann. Math 127 (2) : 375 ~ 404
E. G. Kwon / 2015 / Composition operators between Bergman Spaces of logarithmic weights / Internat. J. Math 26 (9) : 14 ~
F. P´erez-Gonz´alez / 2007 / On composition operators acting between Hardy and weighted Beregman spaces / Expo. Math 25 (4) : 309 ~ 323
J. A. Pel´aez / / Trace class criteria for Toeplitz and composition operators on small Bergman spaces
J. H. Shapiro / 1987 / The essential norm of a composition operator / Ann. Math 127 (2) : 375 ~ 404
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