Extended Ces$\acute{a}$RO Operators between Generalized Besov Spaces and Bloch Type Spaces in the Unit Ball

Zehua Zhou; Min Zhu

Extended Ces$\acute{a}$RO Operators between Generalized Besov Spaces and Bloch Type Spaces in the Unit Ball

Functional Analysis 2013-12-30 v1 Complex Variables

Authors: Zehua Zhou , Min Zhu

Abstract

Let $g$ be a holomorphic map of $B$ , where $B$ is the unit ball of ${C}^n$ . Let $0<p<+\infty, -n-1<q<+\infty$ , $q>-1$ and $\alpha>0$ . This paper gives some necessary and sufficient conditions for the Extended Ces $\acute{a}$ ro Operators induced by $g$ to be bounded or compact between generalized Besov space $B(p,q)$ and $\alpha$ - Bloch space ${\mathcal B}^\alpha.$

Keywords

extended Cesàro operators generalized Besov spaces Bloch type spaces unit ball boundedness compactness holomorphic maps

Cite

@article{arxiv.0709.1443,
  title  = {Extended Ces$\acute{a}$RO Operators between Generalized Besov Spaces and Bloch Type Spaces in the Unit Ball},
  author = {Zehua Zhou and Min Zhu},
  journal= {arXiv preprint arXiv:0709.1443},
  year   = {2013}
}

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11 pages

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