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A set E ⊂ ℝd whose indicator function 1E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1E has… Click to show full abstract
A set E ⊂ ℝd whose indicator function 1E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1E has nearly maximal Gowers norm then E nearly coincides with some ellipsoid, in the sense that their symmetric difference has small Lebesgue measure.
Keywords:
subsets euclidean;
euclidean space;
maximal gowers;
gowers norms;
nearly maximal;
space nearly
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2019
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Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!