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Research Article | Open Access

Exponential Hardy spaces and applications

Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping road, Tai Po, Hong Kong, China
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Abstract

We introduce some Hardy spaces built on exponential Orlicz functions. We use these Hardy-type spaces to study the mapping properties of the Cesáro operators and the Cauchy transform.

Keywords

Hardy spacesCauchy transformCesáro operator
CLC number: 42B30, 47A05, 47B35

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AIMS Mathematics
Volume 10 Issue 12,
December 2025
Pages 29892-29900
DOI: 10.3934/math.20251313

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Ho K-P. Exponential Hardy spaces and applications. AIMS Mathematics, 2025, 10(12): 29892-29900. https://doi.org/10.3934/math.20251313

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Received: 18 September 2025
Revised: 04 December 2025
Accepted: 11 December 2025
Published: 18 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)