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On the exponential integrability of conjugate functions

Gissy, H., Miihkinen, S. and Virtanen, J. (2021) On the exponential integrability of conjugate functions. Journal of Fourier Analysis and Applications, 27 (87). ISSN 1531-5851

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To link to this item DOI: 10.1007/s00041-021-09885-4

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:99851
Publisher:Springer

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