On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces

被引：67
作者：
Sehba, Benoit [1 ]
Stevic, Stevo [2 ,3 ]
机构：
[1] Ctr Adv Study, NO-0271 Oslo, Norway
[2] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷
关键词：
Weighted composition operators; Integral-type operators; Boundedness; Compactness; Hardy-Orlicz spaces; Bergman-Orlicz spaces; EXTENDED CESARO OPERATORS; INTEGRAL-TYPE OPERATORS; BLOCH-TYPE SPACE; GENERALIZED COMPOSITION OPERATORS; RIEMANN-STIELTJES OPERATORS; MIXED-NORM SPACE; UNIT BALL; H-INFINITY; S) SPACES; F(P;
D O I：
10.1016/j.amc.2014.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness and compactness of weighted composition operators and a class of integral-type operators recently introduced by S. Stevic from Hardy-Orlicz and weighted Bergman-Orlicz spaces to a class of weighted-type spaces on the unit ball of C-n, are characterized. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：565 / 581
页数：17
相关论文
共 75 条
  • [1] Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain
    Allen, Robert F.
    Colonna, Flavia
    [J]. TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 11 - +
  • [2] [Anonymous], COMPLEX VARIABLES
  • [3] [Anonymous], ABSTR APPL AN
  • [4] [Anonymous], DISCR DYN NAT SOC
  • [5] Extended Cesaro operators between different Hardy spaces
    Avetisyan, Karen
    Stevic, Stevo
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (02) : 346 - 350
  • [6] Bonami A, 2009, REV UNION MAT ARGENT, V50, P187
  • [7] On some integral operators on the unit polydisk and the unit ball
    Chang, Der-Chen
    Li, Songxiao
    Stevic, Stevo
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05): : 1251 - 1285
  • [8] Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces
    Charpentier, Stephane
    Sehba, Benoit
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [9] Composition Operators on Hardy-Orlicz Spaces on the Ball
    Charpentier, Stephane
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 70 (03) : 429 - 450
  • [10] Composition Operators on Weighted Bergman-Orlicz Spaces on the Ball
    Charpentier, Stephane
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (01) : 43 - 68
12345678