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Weighted composition operators between Hardy and growth spaces on the upper half-plane
Authors:Stevo Stevi?  Ajay K. Sharma
Affiliation:a Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia
b School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra 182320, J&K, India
Abstract:
Bounded weighted composition operators acting from Hardy to growth spaces on the upper half-plane are characterized. We also give some necessary, as well as some sufficient conditions for the compactness of weighted composition operators between these spaces.
Keywords:Weighted composition operator   Hardy space   Growth space   Boundedness   Compactness   Upper half-plane
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