Contact Points and Schatten Class of Composition Operators

被引：2
|
作者：
Bendaoud, Z. [1 ]
Korrichi, F. [1 ]
Merghni, L. [2 ]
Yagoub, A. [3 ]
机构：
[1] Univ Amar Telidji Laghouat, Lab Math Pures & Appl, Laghouat 03000, Algeria
[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M, F-13453 Marseille, France
[3] Univ M Khider, Biskra 07000, Algeria
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2018年 / 49卷 / 04期
关键词：
Generalized Nevanlinna counting function; Dirichlet spaces; composition operators; Schatten class; level set; COMPACT COMPOSITION OPERATORS; SETS;
D O I：
10.1007/s13226-018-0292-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the composition operators on the Dirichlet spaces belonging to Schatten class and the link with the size of contact points of its symbol with the unit circle.
引用
收藏
页码：651 / 661
页数：11
相关论文
共 50 条
  • [31] SCHATTEN-CLASS TRUNCATED TOEPLITZ OPERATORS
    Lopatto, Patrick
    Rochberg, Richard
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (02) : 637 - 649
  • [32] Composition operators with univalent symbol in Schatten classes
    El-Fallah, O.
    El Ibbaoui, M.
    Naqos, H.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (03) : 1547 - 1564
  • [33] On the criteria for Schatten von Neumann class composition operators on Hardy and Bergman spaces in domains in CN
    Li, SY
    GEOMETRIC FUNCTION THEORY IN SEVERAL COMPLEX VARIABLES, 2004, : 220 - 244
  • [34] Schatten class Toeplitz operators, on generalized Fock spaces
    Isralowitz, Joshua
    Virtanen, Jani
    Wolf, Lauren
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 421 (01) : 329 - 337
  • [35] Schatten class and Berezin transform of quaternionic linear operators
    Colombo, Fabrizio
    Gantner, Jonathan
    Janssens, Tim
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5582 - 5606
  • [36] Compact composition operators on the Dirichlet space and capacity of sets of contact points
    Lefevre, Pascal
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 264 (04) : 895 - 919
  • [37] SCHATTEN CLASS GENERALIZED TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    Xu, Chunxu
    Yu, Tao
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (04) : 1173 - 1188
  • [38] Schatten class operators on exponential weighted Bergman spaces
    Wang, Xiaofeng
    Xia, Jin
    Liu, Youqi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [39] Schatten class membership of Hankel operators on the unit sphere
    Fang, Quanlei
    Xia, Jingbo
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (10) : 3082 - 3134
  • [40] A REMARK ON SCHATTEN CLASS TOEPLITZ OPERATORS ON BERGMAN SPACES
    Pau, Jordi
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (08) : 2763 - 2768
12345