Volterra-type operators on the minimal Mobius-invariant space

被引：1

作者：

Xie, Huayou ^{[1
]}

Liu, Junming ^{[2
]}

Ponnusamy, Saminathan ^{[3
,4
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

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

[3] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India

[4] Petrozavodsk State Univ, Dept Math, Ul Lenina 33, Petrozavodsk 185910, Russia

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2023年 / 66卷 / 02期

关键词：

Volterra-type operators; minimal Mobius-invariant space; Deddens algebra; INTEGRATION OPERATORS; DEDDENS ALGEBRAS; ESSENTIAL NORMS; HARDY; MULTIPLIERS; SUBSPACES;

D O I：

10.4153/S0008439522000376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we mainly study operator-theoretic properties on the Besov space B-1 on the unit disk. This space is the minimal Mobius-invariant space. First, we consider the boundedness of Volterra-type operators. Second, we prove that Volterra-type operators belong to the Deddens algebra of a composition operator. Third, we obtain estimates for the essential norm of Volterra-type operators. Finally, we give a complete characterization of the spectrum of Volterra-type operators.

引用

页码：509 / 524

页数：16

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