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

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	747-760
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	2
DOIs	https://doi.org/10.1090/proc/15236
State	Published - Feb 2021

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© 2020 American Mathematical Society

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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abstract = "We study a family of Brascamp-Lieb forms acting on families of weighted Lp-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.",

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N2 - We study a family of Brascamp-Lieb forms acting on families of weighted Lp-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.

AB - We study a family of Brascamp-Lieb forms acting on families of weighted Lp-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.

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

Abstract

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