Product-type operators between minimal M\"{o}bius invariant spaces and Zygmund type spaces
Mostafa Hassanlou, Ebrahim Abbasi, Mehdi Kanani Arpatapeh, Sepideh, Nasresfahani
TL;DR
This paper studies product-type operators between minimal Möbius invariant spaces and Zygmund type spaces, providing characterizations of their boundedness, essential norm, and conditions for compactness.
Contribution
It introduces new characterizations for the boundedness, essential norm, and compactness of product-type operators between these specific function spaces.
Findings
Characterizations of boundedness of the operators.
Formulas for the essential norm of the operators.
Conditions under which the operators are compact.
Abstract
In this paper, we consider product-type operators from minimal M\"{o}bius invariant spaces into Zygmund type spaces. So some characterizations for boundedness and essential norm of these operators are obtained. As a result some conditions for the compactness will be given.
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Taxonomy
TopicsHolomorphic and Operator Theory · Bach Studies and Logistics Development