Singular Brascamp-Lieb: a survey
Polona Durcik, Christoph Thiele
TL;DR
This paper surveys the recent developments in multi-linear singular integrals within the framework of Brascamp-Lieb inequalities, highlighting key results and their geometric implications in harmonic analysis.
Contribution
It provides a comprehensive overview of the current state of research on singular Brascamp-Lieb inequalities, consolidating various results and perspectives.
Findings
Summarizes major results on multi-linear singular integrals
Connects Brascamp-Lieb inequalities with geometric harmonic analysis
Highlights open problems and future directions
Abstract
We present an overview of results on multi-linear singular integrals in the broader context of Brascamp-Lieb inequalities. This elaborates a lecture given at the inspiring conference on Geometric Aspects of Harmonic Analysis at Cortona 2018 in honor of Fulvio Ricci.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Advanced Numerical Analysis Techniques