Product-type operators between minimal M\"{o}bius invariant spaces and Zygmund type spaces

Mostafa Hassanlou; Ebrahim Abbasi; Mehdi Kanani Arpatapeh; Sepideh Nasresfahani

Product-type operators between minimal M\"{o}bius invariant spaces and Zygmund type spaces

Functional Analysis 2022-10-11 v1

Authors: Mostafa Hassanlou , Ebrahim Abbasi , Mehdi Kanani Arpatapeh , Sepideh Nasresfahani

Abstract

In this paper, we consider product-type operators $T^m_{u,v,\varphi}$ 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.

Keywords

product-type operators minimal möbius invariant spaces zygmund type spaces boundedness essential norm compactness

Cite

@article{arxiv.2210.04336,
  title  = {Product-type operators between minimal M\"{o}bius invariant spaces and Zygmund type spaces},
  author = {Mostafa Hassanlou and Ebrahim Abbasi and Mehdi Kanani Arpatapeh and Sepideh Nasresfahani},
  journal= {arXiv preprint arXiv:2210.04336},
  year   = {2022}
}

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