Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below

We study decreasing rearrangements of functions defined on (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by and dimension bounded above by in a synthetic sense, the so called spaces. We first establish a Polya-Szego type inequality stating that the -Sobolev norm d...

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Hlavní autoři: Mondino, A, Semola, D
Médium: Journal article
Jazyk:English
Vydáno: Elsevier 2019