Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (5): 2208-2216.doi: 10.1007/s10473-025-0521-z

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APPROXIMATION IN WEIGHTED HOLOMORPHIC BESOV SPACES ON POLYDISK AND UNIT BALL

Ali ABKAR   

  1. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
  • Received:2023-10-26 Revised:2024-11-12 Online:2025-09-25 Published:2025-10-14
  • About author:Ali Abkar, E-mail: abkar@sci.ikiu.ac.ir

Abstract: We study certain weighted Bergman and weighted Besov spaces of holomorphic functions in the polydisk and in the unit ball. We seek conditions on the weight functions to guarantee that the dilations of a given function converge to the same function in norm; in particular, we seek conditions on the weights to ensure that the analytic polynomials are dense in the space.

Key words: Bergman space, Besov space, dilation, weight function

CLC Number: 

  • 46E15
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