Weak (1,1) bounded operators

Fuente: arXiv
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Autore principale: Maity, Arup
Natura: Preprint
Pubblicazione: 2025
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author Maity, Arup
author_facet Maity, Arup
contents We construct a class of Fourier multipliers whose associated operators are weak (1,1) bounded but fail to be weak (p, p) bounded for any 1 < p \leq \infty. Moreover, we show that this result is sharp.
format Preprint
id arxiv_https___arxiv_org_abs_2512_00636
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Weak (1,1) bounded operators
Maity, Arup
Functional Analysis
Classical Analysis and ODEs
We construct a class of Fourier multipliers whose associated operators are weak (1,1) bounded but fail to be weak (p, p) bounded for any 1 < p \leq \infty. Moreover, we show that this result is sharp.
title Weak (1,1) bounded operators
topic Functional Analysis
Classical Analysis and ODEs
url https://arxiv.org/abs/2512.00636