Weighted composition operators on weighted Bergman and Dirichlet spaces

被引：1

作者：

Esmaeili, Kobra ^{[1
]}

Kellay, Karim ^{[2
]}

机构：

[1] Ardakan Univ, Fac Engn, Ardakan 8951895491, Iran

[2] Univ Bordeaux, IMB, Bordeaux INP, CNRS,UMR 5251, F-33405 Talence, France

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2023年 / 66卷 / 01期

关键词：

Weighted composition operators; boundedness; compactness; Carleson measures; Bergman spaces; Dirichlet spaces; weighted Hilbert spaces; TOEPLITZ-OPERATORS;

D O I：

10.4153/S0008439522000297

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the boundedness and compactness of weighted composition operators acting on weighted Bergman spaces and weighted Dirichlet spaces by using the corresponding Carleson measures. We give an estimate for the norm and the essential norm of weighted composition operators between weighted Bergman spaces as well as the composition operators between weighted Hilbert spaces.

引用

页码：286 / 302

页数：17

共 50 条

[1] Composition operators on weighted Bergman spaces of Dirichlet series
Bailleul, Maxime
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 340 - 363
[2] Composition operators over weighted Bergman spaces of Dirichlet series
Wang, Maofa
He, Min
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (05) : 795 - 815
[3] Toeplitz operators on harmonically weighted Bergman spaces and applications to composition operators on Dirichlet spaces
El-Fallah, Omar
Mahzouli, Houssame
Marrhich, Ibrahim
Naqos, Hatim
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 471 - 489
[4] WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES
刘小松
娄增建
[J]. Acta Mathematica Scientia, 2013, 33 (04) : 1119 - 1126
[5] WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES
Liu, Xiaosong
Lou, Zengjian
[J]. ACTA MATHEMATICA SCIENTIA, 2013, 33 (04) : 1119 - 1126
[6] Isometric and Invertible Composition Operators on Weighted Bergman Spaces of Dirichlet Series
Maxime Bailleul
[J]. Complex Analysis and Operator Theory, 2015, 9 : 1211 - 1218
[7] Compact weighted composition operators on weighted Bergman spaces
Ueki, Sei-Ichiro
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2009, 75 (3-4): : 693 - 706
[8] Weighted composition operators between weighted Bergman spaces
Wolf, Elke
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2009, 103 (01) : 11 - 15
[9] The Weighted Composition Operators on the Large Weighted Bergman Spaces
Inyoung Park
[J]. Complex Analysis and Operator Theory, 2019, 13 : 223 - 239
[10] Isometric and Invertible Composition Operators on Weighted Bergman Spaces of Dirichlet Series
Bailleul, Maxime
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (05) : 1211 - 1218

← 1 2 3 4 5 →