Subsets of Euclidean space with nearly maximal Gowers norms

DOI10.1007/s10114-019-8411-8zbMath1423.26037arXiv1512.03355OpenAlexW2964334877MaRDI QIDQ2311717

Michael Christ

Publication date: 4 July 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03355

zbMATH Keywords

symmetrizationellipsoidsGowers norms

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (1)

Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces

Cites Work

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• Large values of the Gowers-Host-Kra seminorms
• A general rearrangement inequality for multiple integrals
• Cases of equality in the Riesz rearrangement inequality
• Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type
• Near-extremizers of Young's inequality for Euclidean groups
• Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces
• Near equality in the Riesz-Sobolev inequality
• Two Integral Inequalities
• A Single Integral Inequality
• Young’s Inequality Sharpened

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