Fractional Sobolev inequalities : symmetrization, isoperimetry and interpolation / Joaquim Martín, Mario Milman.
We obtain new oscillation inequalities in metric spaces in terms of the Peetre K-functional and the isoperimetric profile. Applications provided include a detailed study of Fractional Sobolev inequalities and the Morrey-Sobolev embedding theorems in different contexts. In particular we include a det...
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Main Authors: | Martín, Joaquim (Author), Milman, Mario (Author) |
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Corporate Author: | Société mathématique de France (Publisher) |
Language: | English |
Language and/or Writing System: |
In English; abstract also in French. |
Published: |
Paris :
Société mathématique de France,
[2014]
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Series: | Astérisque ;
366. |
Subjects: | |
Physical Description: | viii, 127 pages : illustrations ; 24 cm. |
Format: | Book |