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SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACES
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In this paper we obtain some new characterizations for weigh-ted Bergman spaces in the unit ball of Cn.
Abstract
In this paper we obtain some new characterizations for weigh-ted Bergman spaces in the unit ball of Cn.
참고문헌 (11)
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- S. Li, "A characterization of Bergman spaces on the unit ball of Cn, Ⅱ", Canad. Math. Bull.
- S. Li, "Some characterizations of the Besov space and the α-Bloch space", J. Math. Anal. Appl., 346(1), pp.262~273 (2008)
- M. Nowak, "Bloch space and Möbius invariant Besov spaces on the unit ball of Cn", Complex Variables Theory Appl., 44(1), pp.1~12 (2001)
- C. Ouyang, "Characterizations of Bergman spaces and Bloch space in the unit ball of Cn", Trans. Amer. Math. Soc., 347(11), pp.4301~4313 (1995)
- M. Pavlović, "New characterizations of Bergman spaces", Ann. Acad. Sci. Fenn. Math., 33(1), pp.87~99 (2008)
- W. Rudin, "Function Theory in the Unit Ball of Cn" (1980), Springer-Verlag
- H. Wulan, "Lipschitz type characterizations for Bergman spaces", Canad. Math. Bull., 52(4), pp.613~626 (2009)
- M. Zhang, "Composition operators on α-Bloch spaces of the unit ball", Acta Math. Sin. (Engl. Ser.), 23(11), pp.1991~2002 (2007)
- K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball" (2005), Springer-Verlag
관련 논문AI추천
A characterization of weighted Bergman-Privalov spaces on the unit ball of $\mathbb{C}^n$Jun Miyazawa, Sei-ichiro Ueki, Yasuo Matsugu대한수학회 · 대한수학회지2002 · 제39권 제5호CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALLSongxiao Li대한수학회 · 대한수학회보2012 · 제49권 제1호Some Toeplitz operators on weighted Bergman spaces강시호대한수학회 · 대한수학회보2011 · 제48권 제1호SOME REMARKS ON EXTREMAL PROBLEMS IN WEIGHTED BERGMAN SPACES OF ANALYTIC FUNCTIONS이현호, Milos Arsenovic, Romi F. Shamoyan대한수학회 · 대한수학회논문집2012 · 제27권 제4호WEIGHED HARMONIC BERGMAN FUNCTIONS AS RADIAL DERIVATIVES OF BERGMAN FUNCTIONS ON HALF-SPACES위형수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호A double integral characterization of a Bergman type space and its M\"obius invariant subspaceCheng Yuan, Hong-Gang Zeng대한수학회 · 대한수학회보2019 · 제56권 제6호
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