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Higher-order symmetrization inequalities and applications
Authors:Joaquim Martí  n,Mario Milman
Affiliation:a Department de Matematiques, Universitat Autónoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
b Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33431, USA
Abstract:We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Sobolev and Besov spaces are proved.
Keywords:Symmetrization   Besov spaces   Sobolev spaces   Rearrangement invariant spaces
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