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: | , |
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Corporate Author: | |
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 |
Contents:
- Introduction
- Preliminaries
- Oscillations, K-functionals and isoperimetry
- Embedding into continuous functions
- Examples of applications
- Fractional Sobolev inequaliteis in Gaussian measures
- On limiting Sobolev embeddings and BMO
- Estimation of growth "envelopes"
- Lorentz spaces with negative indices
- Connection with the work of Garsia and his collaborators
- Some remarks on the calculation of K-functionals.