Academic Journal
On the nonlinear Brascamp–Lieb inequality
| العنوان: | On the nonlinear Brascamp–Lieb inequality |
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| المؤلفون: | Bennett, Jonathan, Bez, Neal, Buschenhenke, Stefan, Cowling, Michael G., Flock, Taryn C. |
| بيانات النشر: | Duke University Press |
| سنة النشر: | 2020 |
| المجموعة: | Project Euclid (Cornell University Library) |
| مصطلحات موضوعية: | multilinear inequalities, Radon-like transforms, near-extremizers, 42B37, 44A12, 52A40 |
| الوصف: | We prove a nonlinear variant of the general Brascamp–Lieb inequality. Our proof consists of running an efficient, or “tight,” induction-on-scales argument, which uses the existence of Gaussian near-extremizers to the underlying linear Brascamp–Lieb inequality (Lieb’s theorem) in a fundamental way. A key ingredient is an effective version of Lieb’s theorem, which we establish via a careful analysis of near-minimizers of weighted sums of exponential functions. Instances of this inequality are quite prevalent in mathematics, and we illustrate this with some applications in harmonic analysis. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0012-7094 1547-7398 |
| Relation: | https://projecteuclid.org/euclid.dmj/1605171714; Duke Math. J. 169, no. 17 (2020), 3291-3338 |
| DOI: | 10.1215/00127094-2020-0027 |
| الاتاحة: | https://projecteuclid.org/euclid.dmj/1605171714 https://doi.org/10.1215/00127094-2020-0027 |
| Rights: | Copyright 2020 Duke University Press |
| رقم الانضمام: | edsbas.75ADABF7 |
| قاعدة البيانات: | BASE |
| تدمد: | 00127094 15477398 |
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| DOI: | 10.1215/00127094-2020-0027 |