GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO WEIGHTED-TYPE SPACES

被引：36

作者：

Yang Weifeng ^{[1
]}

Yan Weiren ^{[1
]}

机构：

[1] Hunan Inst Engn, Dept Math & Phys, Xiangtan 411104, Hunan, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 06期

关键词：

generalized weighted composition operator; area Nevanlinna space; weighted-type space; ALPHA-BLOCH SPACES; BERGMAN-TYPE SPACES; H-INFINITY; HARDY-SPACES; UNIT BALL; DIFFERENTIATION; PRODUCTS; NORM;

D O I：

10.4134/BKMS.2011.48.6.1195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H(D) denote the class of all analytic functions on the open unit disk ID of the complex plane C. Let n be a nonnegative integer, phi be an analytic self-map of D and u is an element of H(D). The generalized weighted composition operator is defined by D(phi,u)(n)f = uf((n)) o phi, f is an element of H(D). The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in tins paper.

引用

页码：1195 / 1205

页数：11

共 50 条

[31] POLYNOMIAL DIFFERENTIATION COMPOSITION OPERATORS FROM WEIGHTED BERGMAN SPACES TO WEIGHTED-TYPE SPACES ON THE UNIT BALL
Stevic, Stevo
[J]. JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2023, 7 (03): : 397 - 407
[32] Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces
Chen, C.
Zhou, Z. -H.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2016, 68 (06) : 959 - 971
[33] Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces
C. Chen
Z.-H. Zhou
[J]. Ukrainian Mathematical Journal, 2016, 68 : 959 - 971
[34] Weighted composition operators from Bergman-Privalov-type spaces to weighted-type spaces on the unit ball
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (05) : 1939 - 1943
[35] Weighted differentiation composition operators from H∞ and Bloch spaces to nth weighted-type spaces on the unit
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (12) : 3634 - 3641
[36] WEIGHTED COMPOSITION OPERATORS FROM LOGARITHMIC BLOCH SPACES TO A CLASS OF WEIGHTED-TYPE SPACES IN THE UNIT BALL
Zhu, Xiangling
[J]. ARS COMBINATORIA, 2009, 91 : 87 - 95
[37] PRODUCTS OF RADIAL DERIVATIVE AND WEIGHTED COMPOSITION OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO WEIGHTED-TYPE SPACES
Jiang, Zhi-jie
Wang, Xiao-feng
[J]. OPERATORS AND MATRICES, 2018, 12 (02): : 301 - 319
[38] Weighted Composition Operators from the Zygmund Space to n th Weighted-Type Spaces
Abbasi, Ebrahim
Li, Songxiao
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (12) : 1472 - 1494
[39] WEIGHTED COMPOSITION OPERATORS FROM CAUCHY INTEGRAL TRANSFORMS TO LOGARITHMIC WEIGHTED-TYPE SPACES
Sharma, Ajay K.
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (01): : 163 - 174
[40] Essential Norms of Weighted Composition Operators from Analytic Function Spaces into Iterated Weighted-Type Banach Spaces
Shams Alyusof
Flavia Colonna
[J]. Mediterranean Journal of Mathematics, 2023, 20

← 1 2 3 4 5 →