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

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

2007-09-10

arxiv.org/abs/0709.1443v1

Mathematics

Functional Analysis

11 pages

Scientific paper

Let $g$ be a holomorphic map of $B$, where $B$ is the unit ball of ${C}^n$.
Let $0-1$ 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 ${\mathcal B}^\alpha.$

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