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PRODUCTS OF COMPOSITION, DIFFERENTIATION AND MULTIPLICATION FROM THE CAUCHY SPACES TO THE ZYGMUND SPACE

Rita A. Hibschweiler
대한수학회 (The Korean Mathematical Society)|2023.07|대한수학회보 (Bulletin of the KMS)|제60권 제4호|pp. 1061-1070|DOI 10.4134/BKMS.b220471

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참고문헌

키워드

differentiationmultiplication operatorsComposition operatorsfractional Cauchy transforms
주제분류수학

초록

In this paper, we study products of composition, multiplication and differentiation acting on the fractional Cauchy spaces and mapping into the Zygmund space. Characterizations are provided for boundedness and compactness of these operators.

Abstract

In this paper, we study products of composition, multiplication and differentiation acting on the fractional Cauchy spaces and mapping into the Zygmund space. Characterizations are provided for boundedness and compactness of these operators.

참고문헌 (6)

  1. R. A. Hibschweiler, "Weighted Composition Operators between the Fractional Cauchy Spaces and the Bloch-Type Spaces", Journal of Complex Analysis, 2017, pp.1~5 (2017), Hindawi Limited[DOI]
  2. R. A. Hibschweiler, "Products of Composition and Differentiation between the Fractional Cauchy Spaces and the Bloch-Type Spaces", Journal of Function Spaces, 2021, pp.1~7 (2021), Hindawi Limited[DOI]
  3. R. A. Hibschweiler, "Fractional Cauchy Transforms", pp.2006, Chapman and Hall
  4. R. Hibschweiler, "Cauchy Transforms of Measures and Weighted Shift Operators on the Disc Algebra", Rocky Mountain Journal of Mathematics, 26(2) (1996), Rocky Mountain Mathematics Consortium[DOI]
  5. Joel H. Shapiro, "Compact Composition Operators on Spaces of Boundary-Regular Holomorphic Functions", Proceedings of the American Mathematical Society, 100(1), pp.49~ (1987), JSTOR[DOI]
  6. J. Xiao, "Composition operators associated with bloch-type spaces", Complex Variables, Theory and Application: An International Journal, 46(2), pp.109~121 (2001), Informa UK Limited[DOI]

관련 논문AI추천

Finite sum of weighted differentiation composition operators from the fractional Cauchy spaces to the Zygmund-type spaceAjay K. Sharma, Rita A. Hibschweiler대한수학회 · 대한수학회보2024 · 제61권 제6호The $n$-generalized composition operators from Zygmund spaces to $Q_K(p,q)$ spacestaha ibrahim yassen강원경기수학회 · 한국수학논문집2025 · 제33권 제1호PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS FROM THE BLOCH SPACE AND WEIGHTED DIRICHLET SPACES TO MORREY TYPE SPACESQinghua Hu, Songxiao Li대한수학회 · 대한수학회지2017 · 제54권 제2호PRODUCT-TYPE OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO WEIGHTED ZYGMUND SPACESZhi-Jie Jiang대한수학회 · 대한수학회보2015 · 제52권 제4호Products of differentiation and composition on Bloch spacesShuichi Ohno대한수학회 · 대한수학회보2009 · 제46권 제6호Boundedness of Calder\'{o}n-Zygmund operators on inhomogeneous product Lipschitz spacesShaoyong He, Taotao Zheng대한수학회 · 대한수학회지2022 · 제59권 제3호

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