Compact differences of weighted composition operators from weighted Bergman spaces to weighted-type spaces

被引：20

作者：

Jiang, Zhi Jie ^{[2
]}

Stevic, Stevo ^{[1
]}

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

[2] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期

关键词：

Weighted composition operator; Weighted Bergman space; Weighted-type space; Compact operator; MIXED NORM SPACE; BLOCH-TYPE SPACE; GENERALIZED COMPOSITION OPERATORS; INTEGRAL-TYPE OPERATORS; BANACH-SPACES; H-INFINITY; TOPOLOGICAL-STRUCTURE; PRODUCTS;

D O I：

10.1016/j.amc.2010.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the compactness of differences of weighted composition operators from the weighted Bergman space A(alpha)(p), 0 < p < infinity, alpha > -1, to the weighted-type space H-v(infinity) of analytic functions on the open unit disk D in terms of inducing symbols phi(1), phi(2) : D -> D and u(1), u(2) : D -> C. For the case 1 < p < infinity we find an asymptotically equivalent expression to the essential norm of these operators. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3522 / 3530

页数：9

共 56 条

[31] Stevic S, 2008, UTILITAS MATHEMATICA, V77, P167
[32] On a new operator from the logarithmic Bloch space to the Bloch-type space on the unit ball
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 313 - 320
[33] Stevic S, 2008, UTILITAS MATHEMATICA, V76, P59
[34] Stevic S, 2008, ARS COMBINATORIA, V88, P125
[35] Stevic S, 2006, Z ANAL ANWEND, V25, P457
[36] Products of composition and differentiation operators on the weighted Bergman space
Stevic, Stevo
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (04) : 623 - 635
[37] On an integral-type operator from logarithmic Bloch-type and mixed-norm spaces to Bloch-type spaces
Stevic, Stevo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6323 - 6342
[38] Weighted composition operators between Fock-type spaces in CN
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2750 - 2760
[39] Integral-type operators acting between weighted-type spaces on the unit ball
Stevic, Stevo
Ueki, Sei-ichiro
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) : 2464 - 2471
[40] Stevic S, 2009, ARS COMBINATORIA, V93, P161

← 1 2 3 4 5 6 →