Extended Ces$\acute{a}$RO Operators on Zygmund Spaces in the Unit Ball

Details Extended Ces$\acute{a}$RO Operators on Zygmund Spaces in the Unit Ball Extended Ces$\acute{a}$RO Operators on Zygmund Spaces in the Unit Ball

2007-09-10

arxiv.org/abs/0709.1436v1

Mathematics

Functional Analysis

9 pages

Scientific paper

Let $g$ be a holomorphic function of the unit ball $B$ in the $n$-dimensional
space, and denote by $T_g$ and $I_g$ the induced extended Ces$\acute{a}$ro
operator and another integral operator. The boundedness and compactness of
$T_g$ and $I_g$ acting on the Zygmund spaces in the unit ball are discussed and
necessary and sufficient conditions are given in this paper.

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