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arXiv · 2108.09582

On the exponential integrability of conjugate functions

H. Gissy·S. Miihkinen·J. A. Virtanen
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Abstract

We relate the exponential integrability of the conjugate function $\tilde{f}$ 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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H. Gissy, S. Miihkinen, J. A. Virtanen. 2021-08-21. On the exponential integrability of conjugate functions. https://doi.org/10.1007/s00041-021-09885-4

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