Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (1): 47-53.

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Multipliers on Generalized Bergman Spaces

  

  1. Department of Mathematics and Physics, Shandong Institute of Architecture and Engineering, Jinan 250014, China
  • Online:2005-03-30 Published:2024-01-26
  • About author:YUE Xiu-kui(1958-),male,native of Caoxian,Shandong,a professor of Shangdong Institute of Architecture and Engineering,M.S.D.,engages in multiplier theory.

Abstract: In this paper,we characterize the multipliers of generalized Bergman spaces Ap,q,α with 0<p≤1,0<q, α<∞into some analytic function spaces and into sequence spaces, and show that the multipliers of Ap,q,α(0 <p≤1,0<q,α<∞) into a given space are the same as those of Ap,α(0 < p≤1, α>0) in almost every case considered. The corollaries on multipliers of the spaces Ap,q,α extend some related results.

Key words: analytic ,  function ,  space;Hadamard ,  product;multiplier;operator

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