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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2023; 60(4): 1061-1070

Online first article July 5, 2023      Printed July 31, 2023

https://doi.org/10.4134/BKMS.b220471

Copyright © The Korean Mathematical Society.

Products of composition, differentiation and multiplication from the cauchy spaces to the Zygmund space

Rita Hibschweiler

University of New Hampshire

Abstract

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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.

Keywords: Composition operators, multiplication operators, differentiation, fractional Cauchy transforms

MSC numbers: 30H40, 47B01, 47B33

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