Positive Gaussian kernels also have Gaussian minimizers / Franck Barthe, Pawel Wolff.
| Author/creator | Barthe, Franck |
| Other author | Wolff, Paweł. |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, [2022] |
| Description | v, 90 pages ; 26 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; number 1359 |
| Contents | Well-posedness of the minimization problem and the minimum value -- Proof of the main theorem -- Geometric Brascamp-Lieb inequality -- Dual form of inverse Brascamp-Lieb inequalities -- Interpolation -- Positivity in the rank one case -- Positivity condition in the general case. |
| Abstract | "We study lower bounds on multilinear operators with Gaussian kernels acting on Lebesgue spaces, with exponents below one. We put forward natural conditions when the optimal constant can be computed by inspecting centered Gaussian functions only, and we give necessary and sufficient conditions for this constant to be positive. Our work provides a counterpart to Lieb's results on maximizers of multilinear operators with real Gaussian kernels, also known as the multidimensional Brascamp-Lieb inequality. It unifies and extends several inverse inequalities"-- Provided by publisher. |
| General note | "March 2022, volume 276, number 1359 (seventh of 7 numbers)." |
| Bibliography note | Includes bibliographical references (pages 89-90). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022023134 |
| ISBN | 9781470451431 (paperback) |
| ISBN | (pdf) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |