Weighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain

被引：24
|
作者：
Allen, Robert F. [1 ]
Colonna, Flavia [2 ]
机构：
[1] Univ Wisconsin La Crosse, Dept Math, La Crosse, WI 54601 USA
[2] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA
来源：
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1 | 2010年 / 202卷
关键词：
Weighted composition operators; Bloch space; Homogeneous domains; ISOMETRIC COMPOSITION OPERATORS; UNIT BALL; COMPLEX-VARIABLES; H-INFINITY;
D O I：
10.1007/978-3-0346-0158-0_2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in C-n with particular emphasis on the issues of boundedness and compactness. We also discuss the bounded and the compact weighted composition operators from the Bloch space to the Hardy space H-infinity.
引用
收藏
页码：11 / +
页数：3
相关论文
共 50 条
  • [21] Weighted Composition Operators on the Space of Bounded Harmonic Functions
    Izuchi, Kei Ji
    Izuchi, Yuko
    Ohno, Shuichi
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (01) : 91 - 111
  • [22] Weighted Composition Operators on the Space of Bounded Harmonic Functions
    Kei Ji Izuchi
    Yuko Izuchi
    Shûichi Ohno
    Integral Equations and Operator Theory, 2011, 71 : 91 - 111
  • [23] COMPOSITION OPERATORS BETWEEN GENERALLY WEIGHTED BLOCH SPACE AND Qlogq SPACE
    Li, Haiying
    Liu, Peide
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2009, 3 (01): : 99 - 110
  • [24] Weighted composition operators from H∞ to the Bloch space on the polydisc
    Li, Songxiao
    Stevic, Stevo
    ABSTRACT AND APPLIED ANALYSIS, 2007,
  • [25] Weighted composition operators from α-bloch space to H∞ on the polydisc
    Li, Songxiao
    Stevic, Stevo
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (7-8) : 911 - 925
  • [26] On a Criterion for Continuity and Compactness of Composition Operators on the Weighted Bloch Space
    René E. Castillo
    Carlos E. Marrero-Rodríguez
    Julio C. Ramos-Fernández
    Mediterranean Journal of Mathematics, 2015, 12 : 1047 - 1058
  • [27] Weighted composition operators on the logarithmic Bloch-Orlicz space
    Zhou, Hang
    PLOS ONE, 2024, 19 (05):
  • [28] DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS FROM H∞ TO BLOCH SPACE
    Hosokawa, Takuya
    Ohno, Shuichi
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (06): : 2093 - 2105
  • [29] On a Criterion for Continuity and Compactness of Composition Operators on the Weighted Bloch Space
    Castillo, Rene E.
    Marrero-Rodriguez, Carlos E.
    Ramos-Fernandez, Julio C.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (03) : 1047 - 1058
  • [30] Difference of Weighted Composition Operators from H∞ to the Bloch Space
    Shi, Yecheng
    Li, Songxiao
    Zhu, Xiangling
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (04) : 1245 - 1259
12345