논문KCI 등재
Weighted Bloch spaces and some operators induced by radial derivatives
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초록
In the setting of the half-plane of the complex plane, we showthat for rgeq0, the dual space of the weighted bergman spacesB^{1,r} is the Bloch space of the half-plane and we study somebounded linear operators induced by radial derivatives.
Abstract
In the setting of the half-plane of the complex plane, we showthat for rgeq0, the dual space of the weighted bergman spacesB^{1,r} is the Bloch space of the half-plane and we study somebounded linear operators induced by radial derivatives.
참고문헌 (6)
- R. Choe, "Harmonic Bergman functions as radial derivativesof Bergman functions", 131(2), pp.401~408 (2003)
- G. Gindkin, "Analysis in homogeneous domains", 19(4), pp.3~ (1964)
- B. Korenblum, "Theory of Bergman spaces" (2000), Springer-Verlag
- H. Kang, "The radial derivatives on weighted Bergmanspaces", 18(2), pp.243~249 (2003)
- "Weighted analytic Bergman spaces of the half plane andtheir Toeplitz operators" (2001)
- "Weighted analytic Bergman spaces of the half plane andtheir Toeplitz operators" (2001)
관련 논문AI추천
Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호Bloch-type spaces on the upper half-planeJunding Zhang, Xi Fu대한수학회 · 대한수학회보2017 · 제54권 제4호Some Toeplitz operators on weighted Bergman spaces강시호대한수학회 · 대한수학회보2011 · 제48권 제1호DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACES INDUCED BY DOUBLING WEIGHTSJiale Chen대한수학회 · 대한수학회보2023 · 제60권 제5호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호WEIGHED HARMONIC BERGMAN FUNCTIONS AS RADIAL DERIVATIVES OF BERGMAN FUNCTIONS ON HALF-SPACES위형수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호
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