Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (5): 2204-2214.doi: 10.1007/s10473-023-0516-6

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MEAN APPROXIMATION BY DILATATIONS IN BERGMAN SPACES ON THE UPPER HALF-PLANE*

Ali Abkar   

  1. Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran
  • Received:2021-10-09 Revised:2022-11-02 Online:2023-10-26 Published:2023-10-25
  • About author:Ali Abkar, E-mail: abkar@sci.ikiu.ac.ir

Abstract: We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in weighted Bergman, weighted Dirichlet, and weighted Besov spaces on the upper half-plane by dilatations and eventually by analytic polynomials.

Key words: mean approximation, dilatation, non-radial weight, angular weight, weighted Bergman space, weighted Besov space

CLC Number: 

  • 46E15
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