Brascamp–Lieb Inequalities on Compact Homogeneous Spaces

Brascamp–Lieb Inequalities on Compact Homogeneous Spaces

We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. As an application we obtain sharp integral inequalities on the real unit sphere involving functions with some degree of symmetry.

Bibliographic Details
Main Author: Bramati Roberto
Format: Article
Language:English
Published: De Gruyter 2019-09-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
heat flow
homogeneous spaces
multilinear inequalities
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43a85
52a40
Online Access:https://doi.org/10.1515/agms-2019-0007
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spelling doaj-284b0670c64d4b3ea86d3f50d60754592021-09-06T19:39:45ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742019-09-017113015710.1515/agms-2019-0007agms-2019-0007Brascamp–Lieb Inequalities on Compact Homogeneous SpacesBramati Roberto0Università di Padova, Padova, ItalyWe provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. As an application we obtain sharp integral inequalities on the real unit sphere involving functions with some degree of symmetry.https://doi.org/10.1515/agms-2019-0007heat flowhomogeneous spacesmultilinear inequalities43a1543a8552a40
collection DOAJ
language English
format Article
sources DOAJ
author Bramati Roberto
spellingShingle Bramati Roberto
Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
Analysis and Geometry in Metric Spaces
heat flow
homogeneous spaces
multilinear inequalities
43a15
43a85
52a40
author_facet Bramati Roberto
author_sort Bramati Roberto
title Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
title_short Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
title_full Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
title_fullStr Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
title_full_unstemmed Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
title_sort brascamp–lieb inequalities on compact homogeneous spaces
publisher De Gruyter
series Analysis and Geometry in Metric Spaces
issn 2299-3274
publishDate 2019-09-01
description We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. As an application we obtain sharp integral inequalities on the real unit sphere involving functions with some degree of symmetry.
topic heat flow
homogeneous spaces
multilinear inequalities
43a15
43a85
52a40
url https://doi.org/10.1515/agms-2019-0007
work_keys_str_mv AT bramatiroberto brascampliebinequalitiesoncompacthomogeneousspaces
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