SPECTRA OF SOME INVERTIBLE WEIGHTED COMPOSITION OPERATORS ON HARDY AND WEIGHTED BERGMAN SPACES IN THE UNIT BALL

被引：3

作者：

Gao, Yong-Xin ^{[1
]}

Zhou, Ze-Hua ^{[1
,2
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2016年 / 41卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Weighted composition operator; spectrum; automorphism; Hardy spaces; weighted Bergman spaces; unit ball; BLOCH-TYPE SPACES; BANACH-SPACES; ISOMETRIES;

D O I：

10.5186/aasfm.2016.4111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the spectra of invertible weighted composition operators with automorphism symbols, on Hardy space H-2(B-N) and weighted Bergman spaces A(alpha)(2)(B-N), where B-N is the unit ball of the N-dimensional complex space. By taking N = 1, B-N = D the unit disc, we also complete the discussion about the spectrum of a weighted composition operator when it is invertible on H-2(D) or A(alpha)(2)(D).

引用

页码：177 / 198

页数：22

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