Sums of weighted composition operators on H∞

被引:1
|
作者
Izuchi, Kei Ji [2 ]
Ohno, Shuichi [1 ]
机构
[1] Nippon Inst Technol, Miyashiro, Minami Saitama 3458501, Japan
[2] Niigata Univ, Dept Math, Niigata 9502181, Japan
基金
日本学术振兴会;
关键词
Composition operator; Compact operator; Weighted composition operator; Banach space of bounded analytic functions; TOPOLOGICAL-STRUCTURE; ESSENTIAL NORMS; SPACE;
D O I
10.1016/j.jmaa.2011.06.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We characterize compactness of sums of weighted composition operators on the Banach algebra of bounded analytic functions on the open unit disk. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:683 / 689
页数:7
相关论文
共 50 条
  • [31] Spectra of some weighted composition operators on H2
    Cowen C.C.
    Ko E.
    Thompson D.
    Tian F.
    [J]. Acta Scientiarum Mathematicarum, 2016, 82 (1-2): : 221 - 234
  • [32] Weighted composition operators of H∞ into α-Bloch spaces on the unit ball
    Min Zhu Zhang
    Huai Hui Chen
    [J]. Acta Mathematica Sinica, English Series, 2009, 25 : 265 - 278
  • [33] Weighted differentiation composition operators from H∞ to Zygmund spaces
    Yu, Yanyan
    Liu, Yongmin
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (07) : 507 - 520
  • [34] DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS FROM H∞ TO BLOCH SPACE
    Hosokawa, Takuya
    Ohno, Shuichi
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (06): : 2093 - 2105
  • [35] On Generalized Toeplitzness of Weighted Composition Operators on H2
    Jung, Sungeun
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
  • [36] Difference of Weighted Composition Operators from H∞ to the Bloch Space
    Shi, Yecheng
    Li, Songxiao
    Zhu, Xiangling
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (04) : 1245 - 1259
  • [37] PATH CONNECTED COMPONENTS IN WEIGHTED COMPOSITION OPERATORS ON h∞ AND H∞ WITH THE OPERATOR NORM
    Izuchi, Kei Ji
    Izuchi, Yuko
    Ohno, Shuichi
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (07) : 3593 - 3612
  • [38] Weighted composition operators from the Besov spaces into the weighted-type space Hμ∞
    Colonna, Flavia
    Tjani, Maria
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (02) : 594 - 611
  • [39] Weighted Composition Operators and Differences of Composition Operators Between Weighted Bergman Spaces on the Ball
    Li, Junfeng
    Tong, Cezhong
    [J]. FILOMAT, 2022, 36 (09) : 3141 - 3154
  • [40] Essential Norm of Weighted Composition Operators From H∞to nth Weighted Type Spaces
    Abbasi, Ebrahim
    Vaezi, Hamid
    Li, Songxiao
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (05)