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A new product of superposition and differentiation operators between Hardy and Zygmund spaces

Research Authors
A. Kamal, M. Hamza Eissa, Lalit Mohan Upadhyaya and Ayman Shehata
Research Abstract

Our goal in this article is to characterize the boundedness and the compactness of the product of the superposition operator followed by the differentiation operator DSϕ from the H∞ space to the Zygmund space. Moreover, we give the necessary and sufficient conditions for the DSϕ operator from the H∞ space to the Zygmund space to be bounded and compact.

Research Date
Research Department
Research Journal
Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics
Research Vol
39E(2)
Research Website
DOI 10.5958/2320-3226.2020.00019.3
Research Year
2020
Research Pages
193–205