Essential Norm of Weighted Composition Operators From \(H^\infty \) to nth Weighted Type Spaces
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In this work, the boundedness of the weighted composition operator \(uC_\varphi \) from \(H^\infty \) to nth weighted type spaces was characterized. Also some estimates for the essential norm of this operator were given. By applying these estimates for the essential norm, some necessary and sufficient conditions for the compactness of this operator were obtained.
KeywordsEssential norm nth weighted type space weighted composition operator
Mathematics Subject Classification47B33 30H05 30H99
The authors would like to express their sincere gratitude to the referee for a very careful reading of the paper and for all the valuable suggestions, which led to improvement in this paper.
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