Coposinormal Weighted Composition Operators on H2(D)

被引：0
|
作者：
Prasad, T. [1 ]
机构：
[1] Cochin Univ Sci & Technol, Cochin, Kerala, India
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2022年 / 16卷 / 02期
关键词：
posinormal operator; composition operator; cyclic operator; Toeplitz operator; Hardy space; HARDY;
D O I：
10.30495/JME.2022.1440
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study coposinormal composition operators and posinormal weighted composition operators on the Hardy space H-2(D). We show that if W-psi,W-phi is coposinormal on H-2(D), then psi never vanishes on D also we prove that phi is univalent. Moreover, we study the commutant of a coposinormal weighted composition operator.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] COMPOSITION OPERATORS ON H2 - PRELIMINARY REPORT
    WINTROBE, F
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A581 - A581
  • [32] A brief note on compactness of composition operators on H2
    Akeroyd, John R.
    Dutta, Arnab
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (01) : 68 - 77
  • [33] Some examples of compact composition operators on H2
    Lefevre, Pascal
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (11) : 3098 - 3124
  • [34] Iterated Aluthge transforms of composition operators on H2
    Jung, Sungeun
    Kim, Yoenha
    Ko, Eungil
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (10)
  • [35] 2-Complex Symmetric Composition Operators on H2
    Hu, Lian
    Li, Songxiao
    Yang, Rong
    AXIOMS, 2022, 11 (08)
  • [36] Sums of weighted composition operators on H∞
    Izuchi, Kei Ji
    Ohno, Shuichi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 384 (02) : 683 - 689
  • [37] WEIGHTED COMPOSITION OPERATORS ON H∞ ∧ Bo
    Ohno, Shuichi
    GLASGOW MATHEMATICAL JOURNAL, 2015, 57 (02) : 475 - 480
  • [38] Inner functions and cyclic composition operators on H2(Bn)
    Chen, XM
    Cao, GF
    Guo, KY
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (02) : 660 - 669
  • [39] POLYNOMIAL APPROXIMATION AND SPECTRAL PROPERTIES OF COMPOSITION OPERATORS ON H2
    CAUGHRAN, JG
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1971, 21 (01) : 81 - &
  • [40] Norms of composition operators on the H2 space of Dirichlet series
    Brevig, Ole Fredrik
    Perfekt, Karl-Mikael
    JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (02)
12345