논문KCI 등재
A BMO type characterization of weighted Lipschitz functionsin terms of the Berezin transform
대한수학회 (The Korean Mathematical Society)|2006.07|대한수학회논문집 (Communications of the KMS)|제21권 제3호|pp. 419-428
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Abstract
The Berezin transform is the analogue of the Poissontransform in the Bergman spaces.Dyakonov characterize the holomorphic weighted Lipschitz functionin the unit disk in terms of the Poisson integral.In this paper, we characterize the harmonic weighted Lipschitz functionin terms of the Berezin transform instead of the Poisson integral.
참고문헌 (15)
- "An invariant volume-mean value Property" (1993)
- "BMO in the Bergman metric on bounded symmetric domains" (1990)
- "Covariant and contravariant symbols of operators", 6, pp.1117~ (1972)
- "Atomic decomposition of generalized Lipschitz spaces" (1989)
- "Weighted Lipschitz spaces and their analyticcharacterizations" (1994)
- "Derivatives of Harmonic Bergman and Bloch functions on theball" (2001)
- "Equivalent norms on Lipschitz-type spaces of holomorphicfunctions" (1997)
- "Holomorphic functions and quasiconformal mappings withsmooth moduli" (2004)
- "Strong Hardy-Littlewood theorems for analytic functionsand mappings of finite distortion" (2005)
- "Theory of Bergman spaces" (2000)
- "On Dyakonov spaper Equivalent norms on Lipschitz-type spaces of holomorphicfunctions" (1999)
- "Introduction to Function Spaces on the Disk" (2004)
- "Function theory in the unit ball ofmathbb" (1980), Springer-Verlag Press
- "operators on the Bergman space" (1987)
- "Operator Theory in Function Spaces" (1990)
관련 논문AI추천
Berezin transforms and Toeplitz operators on the weighted Bergman spaces of the half-plane강시호대한수학회 · 대한수학회보2007 · 제44권 제2호A characterization of weighted Bergman-Privalov spaces on the unit ball of $\mathbb{C}^n$Jun Miyazawa, Sei-ichiro Ueki, Yasuo Matsugu대한수학회 · 대한수학회지2002 · 제39권 제5호Boundedness of Berezin transform on Herz spaces나경욱, 조주희대한수학회 · 대한수학회지2012 · 제49권 제4호CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALLSongxiao Li대한수학회 · 대한수학회보2012 · 제49권 제1호Characterizations for the Fock-type spaces남계숙, 조홍래, 하정민대한수학회 · 대한수학회보2019 · 제56권 제3호Lipschitz type inequality in weighted Bloch space Cal B_qKi Seong Choi대한수학회 · 대한수학회지2002 · 제39권 제2호
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