On composition operators on the Wiener algebra of Dirichlet series

被引：0

作者：

Li, Daniel ^{[1
]}

Queffelec, Herve ^{[2
]}

Rodriguez-Piazza, Luis ^{[3
,4
]}

机构：

[1] Univ Artois, UR 2462, Lab Math Lens LML, F-62300 Lens, France

[2] Univ Lille Nord France, USTL, Lab Paul Painleve UMR CNRS 8524, F-59655 Villeneuve Dascq, France

[3] Univ Seville, Fac Matemat, Dept Anal Matemat, Calle Tarfia S-N, Seville 41012, Spain

[4] IMUS, Calle Tarfia S-N, Seville 41012, Spain

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2023年 / 188卷

关键词：

Absolutely summing operator; Compact operator; Composition operator; Dirichlet series; Wiener algebra of Dirichlet series; SPACE;

D O I：

10.1016/j.bulsci.2023.103318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the symbol of a bounded composition operator on the Wiener algebra of Dirichlet series does not need to belong to this algebra. Our example even gives an absolutely summing (hence compact) composition operator.& COPY; 2023 Elsevier Masson SAS. All rights reserved.

引用

页数：7

共 13 条

[1]

Albiac F, 2016, GRAD TEXTS MATH, V233, P1, DOI 10.1007/978-3-319-31557-7

[2]

[Anonymous], 1986, CBMS Regional Conference Series in Mathematics

[3]

[Anonymous], 2000, Theory of HP Spaces

[4] Hardy spaces of Dirichlet series and their composition operators [J].

Bayart, F .

MONATSHEFTE FUR MATHEMATIK, 2002, 136 (03) :203-236

[5]

Bayart F, 2008, J OPERAT THEOR, V60, P45

[6] Composition operators defined on the Wiener-Dirichlet algebra. [J].

Finet, C ;

Li, D ;

Queffélec, H .

COMPTES RENDUS MATHEMATIQUE, 2004, 339 (02) :109-114

[7]

Gordon J, 1999, MICH MATH J, V46, P313

[8]

HANSEN LJ, 1970, MICH MATH J, V17, P235

[9]

Li D., 2018, Cambridge Stud. Adv. Math., V166

[10]

Li D., 2004, Analyse et probabilites, Cours Specialises, V12

← 1 2 →