We prove a quantitative isoperimetric inequality for the fractional Gaussian perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the constant appearing in the inequality does not depend on the dimension but only on the Gaussian volume of the set and on the fractional order.
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter / Carbotti, Alessandro; Cito, Simone; Angelo La Manna, Domenico; Pallara, Diego. - In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY. - ISSN 1019-8385. - 32:2(2024), pp. 577-603. [10.4310/cag.241015013216]
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
Angelo La Manna, Domenico;
2024
Abstract
We prove a quantitative isoperimetric inequality for the fractional Gaussian perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the constant appearing in the inequality does not depend on the dimension but only on the Gaussian volume of the set and on the fractional order.File in questo prodotto:
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