Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (4): 395-403.

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Pointwise Multipliers between Two Holomorphic Function Spaces on C^n

 ZHANG Hua-Jun   

  • Online:2004-08-25 Published:2004-08-25
  • Supported by:

    国家自然科学基金(19871026)和湖南省教育厅基金资助

Abstract:

In this paper, the author will discuss the pointwise multipliers from    Bloch type spaces β\+p to Dirichlet type spaces D\-qby using mixed norm     spaces, Bergman type operators, Carleson measure, the estamation of order and     linear functional. At the same time, the author will study the pointwise multipliers from    Dirichlet type spaces D\-p to little Bloch type spaces β\+q\-0 too.

Key words: Unit ball, β\+p space, D\-p space, Pointwise multiplier, Carleson measure.

CLC Number: 

  • 32A37
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