Essential norms of weighted composition operators between Bloch-type spaces

被引：120

作者：

Maccluer, BD ^{[1
]}

Zhao, RH

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[2] Univ Toledo, Dept Math, Toledo, OH 43606 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2003年 / 33卷 / 04期

关键词：

D O I：

10.1216/rmjm/1181075473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the essential norm of a weighted composition operator uC(phi) acting from an analytic Lipschitz space into a weighted Bloch-type space on the disk, and give estimates for the essential norm of uC(phi) when it maps the standard Bloch space into a weighted Bloch-type space. We also study boundedness and compactness of weighted composition operators on analytic Lipschitz spaces from a geometric perspective.

引用

页码：1437 / 1458

页数：22

共 50 条

[1] Estimates of essential norms of weighted composition operators between Bloch-type spaces
Hyvarinen, Olli
Lindstrom, Mikael
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 38 - 44
[2] Essential norms of weighted composition operators between Zygmund-type spaces and Bloch-type spaces
Sanatpour, Amir Hossein
Hassanlou, Mostafa
[J]. TURKISH JOURNAL OF MATHEMATICS, 2014, 38 (05) : 872 - 882
[3] Essential norms of the integral-type composition operators between Bloch-type spaces
Chen, Cui
Zhou, Ze-Hua
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (07) : 552 - 561
[4] Weighted composition operators between Bloch-type spaces
Ohno, S
Stroethoff, K
Zhao, RH
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2003, 33 (01) : 191 - 215
[5] Essential norms of generalized composition operators between Bloch-type spaces in the unit ball
Chen, Cui
Zhou, Ze-Hua
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (05) : 696 - 706
[6] Weighted composition operators between Bloch-type spaces in the polydisc
Stevic, S.
Chen, R.
Zhou, Z.
[J]. SBORNIK MATHEMATICS, 2010, 201 (1-2) : 289 - 319
[7] Weighted Composition Operators from Logarithmic Bloch-Type Spaces to Bloch-Type Spaces
Stevo Stević
Ravi P. Agarwal
[J]. Journal of Inequalities and Applications, 2009
[8] Essential norm of generalized weighted composition operators on Bloch-type spaces
Zhu, Xiangling
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 133 - 142
[9] Weighted Composition Operators from Logarithmic Bloch-Type Spaces to Bloch-Type Spaces
Stevic, Stevo
Agarwal, Ravi P.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[10] Essential Norms of Weighted Differentiation Composition Operators between Zygmund Type Spaces and Bloch Type Spaces
Sanatpour, Amir H.
Hassanlou, Mostafa
[J]. FILOMAT, 2017, 31 (09) : 2877 - 2889

← 1 2 3 4 5 →