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Composition-Differentiation Operators on Derivative Hardy Spaces

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  • A. Abkar
  • A. Babaei
  • Humberto Rafeiro

Abstract

We first explore conditions under which every weighted composition-differentiation operator on the Hardy space H1D is completely continuous. We then discuss necessary and sufficient conditions for these operators to be Hilbert–Schmidt on the derivative Hardy space S2D.

Suggested Citation

  • A. Abkar & A. Babaei & Humberto Rafeiro, 2024. "Composition-Differentiation Operators on Derivative Hardy Spaces," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, January.
  • Handle: RePEc:hin:jjmath:8222237
    DOI: 10.1155/2024/8222237
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