Search Advanced

Message Board

Dear readers, authors and reviewers,you can add a message on this page. We will reply to you as soon as possible!

2018 Volume 43 Issue 12
Article Contents
Previous Article Next Article

ZHU Ke-chao, ZHAO Jiao-zhen. On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(12): 41-47. doi: 10.13718/j.cnki.xsxb.2018.12.009
Citation: ZHU Ke-chao, ZHAO Jiao-zhen. On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(12): 41-47. doi: 10.13718/j.cnki.xsxb.2018.12.009
shu

On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces

  • College of Humanities Sciences, Guizhou University for Nationalities, Guiyang 550025, China

More Information
  • Received Date: 01/04/2018
  • In this paper, the boundedness and compactness of the Stević-Sharma operators from analytic Morrey sapcesto Zygmund spaceare characterized. The sufficient and necessary conditions for the boundedness and compactness of the Stević-Sharma operator are obtained. As a corollary, the conditions of boundedness and compactness of weighted composition operators are given.
  • 加载中
  • [1] WULAN H, ZHOU J Z. QK and Morrey Type Spaces[J]. Ann Acad Sci Fenn Math, 2013, 38(1):193-207.

    Google Scholar

    [2] DUREN P L. Theory of Hp Spaces[M]. New York:Academic Press, 1970:58-60.

    Google Scholar

    [3] COLONNA F, LI S X. Weighted Composition Operators from H∞ into the Zygmund Spaces[J]. Complex Analysis & Operator Theory, 2013, 7(5):1495-1512.

    Google Scholar

    [4] LI H Y, MA T S, GUO Z T. Generalized Composition Operators from Zygmund Type Spaces to QK Spaces[J]. Math Ineq, 2015, 9(2):425-435.

    Google Scholar

    [5] MORREY C B. On the Solution of Quasi-Linear Elliptic Partial Differential Equations[J]. Trans Amer Math Soc, 1938, 43(1):126-166.

    Google Scholar

    [6] WU Z J, XIE C P. Q Spaces and Morrey Spaces[J]. Funct Anal, 2003, 201(1):282-297.

    Google Scholar

    [7] GU D G. Weighted Composition Operators from Analytic Morrey Spaces into Bloch-Type Spaces[J]. Math Anal, 2014, 5(4):18-25.

    Google Scholar

    [8] PEETRE J. On the Theory of Lp,λ Spaces[J]. Funct Anal, 1964(4):71-87.

    Google Scholar

    [9] LI P T, LIU J M, LOU Z J. Integral Operators on Analytic Morrey Spaces[J]. Sci Chi Math, 2014, 57(9):1961-1974.

    Google Scholar

    [10] OHNO S. Products of Composition and Differentiation between Hardy Spaces[J]. Bull Austr Math Soc, 2006, 73(2):235-243.

    Google Scholar

    [11] STEVIĆ S. Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces[J]. Appl Math Comput, 2009, 211(1):222-233.

    Google Scholar

    [12] STEVIĆ S. Characterizations of Composition Followed by Differentiation Between Bloch-Type Spaces[J]. Appl Math Comput, 2011, 218(8):4312-4316.

    Google Scholar

    [13] STEVIĆ S, SHARMA A K, BHAT A. Products of Multiplication, Composition and Differentiation Operators on Weighted Bergman Space[J]. Appl Math Comput, 2011, 217(20):8115-8125.

    Google Scholar

    [14] STEVIĆ S, SHARMA A K, BHAT A. Essential Norm of Products of Multiplication, Composition and Differentiation Operators on Weighted Bergman Spaces[J]. Appl Math Comput, 2011, 218(6):2386-2397.

    Google Scholar

    [15] ZHANG F, LIU Y M. On the Compactness of the Stević-Sharma Operator on the Logarithmic Bloch Spaces[J]. Math Ineq Appl, 2016, 19(2):625-642.

    Google Scholar

    [16] ZHANG F, LIU Y M. Products of Multiplication, Composition and Differentiation Operators from Mixed-Norm Spaces to Weighted-Type Spaces[J]. Taiwan Math, 2014, 18(6):1927-1940.

    Google Scholar

    [17] MADIGAN K, MATHESON A. Compact Composition Operators on the Bloch Space[J]. Trans Amer Math Soc, 1995, 347(7):2679-2687.

    Google Scholar

  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Export Citation
PDF
XML

Article Metrics

Article views(626) PDF downloads(49) Cited by(0)

Access History

Other Articles By Authors

On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces

  • Received Date: 01/04/2018

Abstract: In this paper, the boundedness and compactness of the Stević-Sharma operators from analytic Morrey sapcesto Zygmund spaceare characterized. The sufficient and necessary conditions for the boundedness and compactness of the Stević-Sharma operator are obtained. As a corollary, the conditions of boundedness and compactness of weighted composition operators are given.

    HTML

Reference (17)

Catalog

    Copyright Journal of Southwest China Normal University(Natural Science Edition)

    Address： Tel：023-68252540，68254576，68254478 E-mail：xbbjb@swu.edu.cn

    Supported by:Beijing Renhe Information Technology Co. Ltd

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return