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CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALL

Songxiao Li
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회보 (Bulletin of the KMS)|제49권 제1호|pp. 89-98

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참고문헌

키워드

Bloch spaceBesov spaceBergman space
주제분류수학

초록

In this paper we obtain some new characterizations of Besov spaces on the unit ball of Cn. These characterizations are also completely new even in the settings of the unit disk.

Abstract

In this paper we obtain some new characterizations of Besov spaces on the unit ball of Cn. These characterizations are also completely new even in the settings of the unit disk.

참고문헌 (13)

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  2. H. T. Kaptanoglu, "ergman projections on Besov spaces on balls", Illinois J. Math, 49(2), pp.385~403 (2005)
  3. H. T. Kaptanoglu, "Carleson measures for Besov spaces on the ball with applications", J. Funct. Anal, 250(2), pp.483~520 (2007)
  4. 권언근, "A characterization of Bloch space and Besov space", JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 324(2), pp.1429~1437, ACADEMIC PRESS INC ELSEVIER SCIENCE
  5. S. Li, "Some characterizations of the Besov space and the α-Bloch space", J. Math. Anal. Appl, 346(1), pp.262~273 (2008)
  6. S. Li, "Some new characterizations of Bloch spaces", Taiwanese J. Math, 14(6), pp.2245~2259 (2010)
  7. M. Nowak, "Bloch and Mobius invariant Besov spaces on the unit ball of Cn", Complex Variables Theory Appl, 44(1), pp.1~12 (2001)
  8. W. Rudin, "Function Theory in the Unit Ball of Cn" (1980), Springer-Verlag
  9. K. Stroethoff, "The Bloch space and Besov spaces of analytic functions", Bull. Austral. Math. Soc, 54(2), pp.211~219 (1996)
  10. R. M. Timoney, "Bloch functions in several complex variables II", J. Reine Angew. Math, 319, pp.1~22 (1980)
  11. M. Zhang, "Composition operators on α-Bloch spaces of the unit ball", Acta Math. Sin. (Engl. Ser.), 23(11), pp.1991~2002 (2007)
  12. K. Zhu, "Analytic Besov space", J. Math. Anal. Appl, 157(2), pp.318~336 (1991)
  13. K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball" (2005), Springer-Verlag

관련 논문AI추천

SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACESSongxiao Li대한수학회 · 대한수학회보2010 · 제47권 제6호A characterization of weighted Bergman-Privalov spaces on the unit ball of $\mathbb{C}^n$Jun Miyazawa, Sei-ichiro Ueki, Yasuo Matsugu대한수학회 · 대한수학회지2002 · 제39권 제5호Characterizations for the Fock-type spaces남계숙, 조홍래, 하정민대한수학회 · 대한수학회보2019 · 제56권 제3호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호Holomorphic mean Lipschitz functions on the unit ball of Cn구형운, 권언근, 조홍래대한수학회 · 대한수학회지2013 · 제50권 제1호COMPACT COMPOSITION OPERATORS ON BESOV SPACES ON THE UNIT BALLChao Zhang대한수학회 · 대한수학회보2023 · 제60권 제3호

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