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Symmetrization inequalities and Sobolev embeddings |
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| Authors: | Joaquim Martí n Mario Milman |
| Institution: | Department de Matemàtiques, Universitat Autónoma de Barcelona, 08193 Bellaterra (Barcelona) Spain ; Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431 |
| Abstract: | We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Besov spaces are proved, including a sharpening of the limiting cases of the classical Sobolev embedding theorem. In particular, a surprising self-improving property of certain Sobolev embeddings is uncovered. |
| Keywords: | Symmetrization Besov spaces Sobolev spaces rearrangement invariant spaces |
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