Integral isoperimetric transference and dimensionless Sobolev inequalities
We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincaré inequalities with constants independent of the dimension. In the special case of Lq spaces on the unit n-dimensional cube our results extend the recent...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:268403 |
| Online Access: | https://ddd.uab.cat/record/268403 https://dx.doi.org/urn:doi:10.1007/s13163-014-0153-7 |
| Access Level: | Open access |
| Keyword: | Extrapolation Isoperimetric inequalities Sobolev inequalities Symmetrization |
| Summary: | We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincaré inequalities with constants independent of the dimension. In the special case of Lq spaces on the unit n-dimensional cube our results extend the recent inequalities that were obtained in Fiorenza et al. (2012) using extrapolation. |
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