International Journal of Analysis and Applications (Nov 2023)

Composition Operators From Harmonic Lipschitz Space Into Weighted Harmonic Zygmund Space

  • M. A. Bakhit,
  • N. M. Dahshan,
  • Ranya Tahier,
  • Omniat O. Y. Karrar,
  • Mehreen S. Khan,
  • M. A. Orsud

DOI
https://doi.org/10.28924/2291-8639-21-2023-125
Journal volume & issue
Vol. 21
pp. 125 – 125

Abstract

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The paper investigate a necessary and sufficient condition for the composition operator from harmonic Lipschitz spaces LipHα, (0<α<1) into weighted harmonic Zygmund spaces ZHβ, (0<β<∞) to be bounded and compact on the open unit disk. As an application, it estimates the essential norms of such an operator from LipHα into ZHβ spaces.