STRICT SINGULARITY OF WEIGHTED COMPOSITION OPERATORS ON DERIVATIVE HARDY SPACES

被引：1

作者：

Lin, Qingze ^{[1
]}

Liu, Junming ^{[1
]}

Wu, Yutian ^{[2
]}

机构：

[1] Guangdong Univ Technol, Sch Math & Stat, Guangzhou 510520, Guangdong, Peoples R China

[2] Guangdong Univ Finance, Sch Financial Math & Stat, Guangzhou 510521, Guangdong, Peoples R China

来源：

OPERATORS AND MATRICES | 2021年 / 15卷 / 03期

关键词：

Volterra type operator; compactness; strict singularity; Hardy space; INVARIANT SUBSPACES;

D O I：

10.7153/oam-2021-15-73

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the weighted composition operator W-phi,W-phi fixes an isomorphic copy of l(p) if the operator W-phi,W-phi is not compact on the derivative Hardy space S-p. In particular, this implies that the strict singularity of the operator W-phi,W-phi coincides with the compactness of it on S-p. Moreover, when p not equal 2, we characterize the conditions for those weighted composition operators W-phi,W-phi, on S-p which fix an isomorphic copy of l(2).

引用

页码：1171 / 1180

页数：10

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