On the Exponential Integrability of Conjugate Functions 2021 (English)In: Journal of Fourier Analysis and Applications, ISSN 1069-5869, E-ISSN 1531-5851, Vol. 27, no 6, article id 87Article in journal (Refereed) Published

Abstract [en]

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

Place, publisher, year, edition, pages

Birkhäuser Verlag, 2021. Vol. 27, no 6, article id 87

Keywords [en]

Exponential integrability, Conjugate function, Hilbert transform, Outer functions

National Category

Mathematical Analysis

Research subject

Mathematics

Identifiers

URN: urn:nbn:se:kau:diva-87286DOI: 10.1007/s00041-021-09885-4ISI: 000708487200001Scopus ID: 2-s2.0-85117604107OAI: oai:DiVA.org:kau-87286DiVA, id: diva2:1613266

Available from: 2021-11-22 Created: 2021-11-22 Last updated: 2022-02-28Bibliographically approved

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Miihkinen, Santeri

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Miihkinen, Santeri

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Department of Mathematics and Computer Science (from 2013)

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Journal of Fourier Analysis and Applications

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Mathematical Analysis

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