On the exponential integrability of conjugate functions
Complex Variables
2021-10-20 v1 Classical Analysis and ODEs
Functional Analysis
Spectral Theory
Abstract
We relate the exponential integrability of the conjugate function to the size of the gap in the essential range of . Our main result complements a related theorem of Zygmund.
Keywords
Cite
@article{arxiv.2108.09582,
title = {On the exponential integrability of conjugate functions},
author = {H. Gissy and S. Miihkinen and J. A. Virtanen},
journal= {arXiv preprint arXiv:2108.09582},
year = {2021}
}
Comments
15 pages, 1 figure