On the multiplication operators and multipliers on weighted spaces of holomorphic functions on the upper halfplane

Authors

  • Mohammad ali Ardalani University of Kurdistan
  • Saeed Haftbaradaran University of Kurdistan

Abstract

In this paper‎, ‎we find necessary and sufficient conditions such that under these conditions a self map multiplication operator between weighted spaces of holomorphic functions is ‎‎Fredholm or closed range operator‎. ‎We also obtain a characterization of multipliers for certian type of weights operators between weighted spaces of holomorphic functions on the upper halfplane. ‎Our results will remain valid for any simply connected domain in the complex plane instead of the upper halfplane ‎.

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Published

2021-03-24

Issue

Vol. 16

Section

Vol. 16, No. 1, (2022)

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