Open AccessProduct-Type Operators on the Space of Fractional Cauchy Transforms
Author(s) -
Zeng Fan,
Xin Guo
Publication year - 2022
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2022/2644844
Subject(s) - mathematics , pure mathematics , cauchy distribution , type (biology) , compact space , cauchy's integral formula , product (mathematics) , mathematical analysis , space (punctuation) , cauchy sequence , characterization (materials science) , cauchy problem , initial value problem , computer science , geometry , physics , ecology , optics , biology , operating system
The space of fractional Cauchy transforms plays a central role in classical complex analysis, harmonic analysis, and geometric measure theory. In this paper, we study the boundedness and compactness of product-type operators from the space of fractional Cauchy transforms to the Zygmund-type space in terms of the function theoretic characterization of Julia–Carathéodory type.
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