On the Exponential Integrability of Conjugate Functions-Reference-Cited by-同舟云学术

On the Exponential Integrability of Conjugate Functions

Published:2021-10-18 Issue:6 Volume:27 Page:
ISSN:1069-5869
Container-title:Journal of Fourier Analysis and Applications
language:en
Short-container-title:J Fourier Anal Appl

Author:

Gissy H.^ORCID,Miihkinen S.^ORCID,Virtanen J. A.^ORCID

Abstract

AbstractWe relate the exponential integrability of the conjugate function

$${\tilde{f}}$$

f ~ to the size of the gap in the essential range of f. Our main result complements a related theorem of Zygmund.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00041-021-09885-4.pdf

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