A Ces\`aro-like operator from Besov spaces to some spaces of analytic functions

Fangmei Sun; Fangqin Ye; Liuchang Zhou

A Ces\`aro-like operator from Besov spaces to some spaces of analytic functions

Complex Variables 2023-05-05 v1 Functional Analysis

Authors: Fangmei Sun , Fangqin Ye , Liuchang Zhou

Abstract

In this paper, for $p>1$ and $s>1$ , we give a complete description of the boundedness and compactness of a Ces\`aro-like operator from the Besov space $B_p$ into a Banach space $X$ between the mean Lipschitz space $\Lambda^s_{1/s}$ and the Bloch space.

Keywords

cesàro-like operator besov spaces bloch space mean lipschitz space bounded operator compact operator analytic functions

Cite

@article{arxiv.2305.02717,
  title  = {A Ces\`aro-like operator from Besov spaces to some spaces of analytic functions},
  author = {Fangmei Sun and Fangqin Ye and Liuchang Zhou},
  journal= {arXiv preprint arXiv:2305.02717},
  year   = {2023}
}

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