New Characterizations for the Essential Norms of Generalized Weighted Composition Operators between Zygmund-Type Spaces

Abstract

We give different types of new characterizations for the boundedness and essential norms of generalized weighted composition operators between Zygmund-type spaces. Consequently, we obtain new characterizations for the compactness of such operators.

Generalized product-type operators between Bloch-type spaces

“…The equivalency between parts (b) and (d) of the above corollary, shows that in the case n = 1, our results reduce to the ones obtained by Colona and Li in [2]. Also by the equivalency between parts (c) and (d) of the above consequence, we have the results obtained by the authors in [5].…”