On the exponential integrability of conjugate functions

Autor:	Gissy, H., Miihkinen, S., Virtanen, J. A.
Rok vydání:	2021
Předmět:	Mathematics - Complex Variables Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Mathematics - Spectral Theory 42A50
Zdroj:	J Fourier Anal Appl 27, 87 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1007/s00041-021-09885-4
Popis:	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. Comment: 15 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.09582 Zobrazit plný text záznamu View this record from Arxiv