Estimates for brascamp-lieb forms in lp-spaces with power weights

R. M. Brown; C. W. Lee; K. A. Ott

doi:10.1090/proc/15236

Estimates for brascamp-lieb forms in lp-spaces with power weights

R. M. Brown, C. W. Lee, K. A. Ott

Mathematics

Producción científica: Article › revisión exhaustiva

2 Citas (Scopus)

Resumen

We study a family of Brascamp-Lieb forms acting on families of weighted L^p-spaces and Lorentz spaces where the weight is a power of the distance to the origin. We establish a set of necessary conditions and a set of sufficient conditions for the finiteness of these forms in Lorentz spaces. The conditions are close to optimal.

Idioma original	English
Páginas (desde-hasta)	747-760
Número de páginas	14
Publicación	Proceedings of the American Mathematical Society
Volumen	149
N.º	2
DOI	https://doi.org/10.1090/proc/15236
Estado	Published - feb 2021

Nota bibliográfica

Publisher Copyright:
© 2020 American Mathematical Society

Financiación

Received by the editors July 13, 2018, and, in revised form, June 15, 2020. 2010 Mathematics Subject Classification. Primary 26B15; Secondary 52B99. The first-named author was partially supported by grants from the Simons Foundation (#195075, #422756). The third-named author was partially supported by a grant from the Simons Foundation (#526904).

Financiadores	Número del financiador
Simons Foundation	422756, 195075, 526904

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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Estimates for brascamp-lieb forms in lp-spaces with power weights

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