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On the exponential integrability of conjugate functions

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Gissy, H., Miihkinen, S. and Virtanen, J. (2021) On the exponential integrability of conjugate functions. Journal of Fourier Analysis and Applications, 27 (87). ISSN 1069-5869 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.

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Item Type Article
URI https://reading-pure-test.eprints-hosting.org/id/eprint/99851
Identification Number/DOI 10.1007/s00041-021-09885-4
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
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