The optimal symmetric quasi-Banach range of the discrete Hilbert transform
Functional Analysis
2019-08-27 v1
Abstract
We identify symmetric quasi-Banach range of the discrete Calder\'{o}n operator and Hilbert transform acting on a symmetric quasi-Banach sequence space. As an application we present an example of optimal range in the case when the domain of those operators is the weak- space of sequences.
Keywords
Cite
@article{arxiv.1908.09542,
title = {The optimal symmetric quasi-Banach range of the discrete Hilbert transform},
author = {K. S. Tulenov},
journal= {arXiv preprint arXiv:1908.09542},
year = {2019}
}
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