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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)

  1. E. Kwon, "A characterization of Bloch space and Besov space", J. Math. Anal. Appl., 324(2), pp.1429~1437 (2006)
  2. S. Li, "A characterisation of Bergman spaces on the unit ball of Cn", Glasg. Math. J., 51(2), pp.315~330 (2009)
  3. S. Li, "A characterization of Bergman spaces on the unit ball of Cn, Ⅱ", Canad. Math. Bull.
  4. S. Li, "Some characterizations of the Besov space and the α-Bloch space", J. Math. Anal. Appl., 346(1), pp.262~273 (2008)
  5. 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)
  6. 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)
  7. M. Pavlović, "New characterizations of Bergman spaces", Ann. Acad. Sci. Fenn. Math., 33(1), pp.87~99 (2008)
  8. W. Rudin, "Function Theory in the Unit Ball of Cn" (1980), Springer-Verlag
  9. H. Wulan, "Lipschitz type characterizations for Bergman spaces", Canad. Math. Bull., 52(4), pp.613~626 (2009)
  10. M. Zhang, "Composition operators on α-Bloch spaces of the unit ball", Acta Math. Sin. (Engl. Ser.), 23(11), pp.1991~2002 (2007)
  11. K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball" (2005), Springer-Verlag

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