On the Exponential Integrability of Conjugate Functions

H. Gissy; S. Miihkinen; J. A. Virtanen

doi:10.1007/s00041-021-09885-4

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On the Exponential Integrability of Conjugate Functions

Journal article

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Peer reviewed

On the Exponential Integrability of Conjugate Functions

H. Gissy, S. Miihkinen and J. A. Virtanen

The Journal of fourier analysis and applications, Vol.27(6)

01/12/2021

DOI: https://doi.org/10.1007/s00041-021-09885-4

Abstract

Abstract Harmonic Analysis

Approximations and Expansions

Article

Fourier Analysis

Mathematical Methods in Physics

Mathematics

Mathematics and Statistics

Partial Differential Equations

Signal,Image and Speech Processing

We relate the exponential integrability of the conjugate function f ~ to the size of the gap in the essential range of f . Our main result complements a related theorem of Zygmund.

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Title: On the Exponential Integrability of Conjugate Functions
Creators - without role: H. Gissy - University of Reading
S. Miihkinen - Karlstad University
J. A. Virtanen - University of Helsinki
Publication Details: The Journal of fourier analysis and applications, Vol.27(6)
Publisher: Springer US
Identifiers: 9917349308331
Academic Unit: Jazan University
Language: English
Resource Type: Journal article