Positive Gaussian Kernels Also Have Gaussian Minimizers
Seiten
2022
American Mathematical Society (Verlag)
978-1-4704-5143-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-5143-1 (ISBN)
Examines lower bounds on multilinear operators with Gaussian kernels acting on Lebesgue spaces, with exponents below one. The authors 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.
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.
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.
Franck Barthe, Universite de Toulouse, France. Pawel Wolff, Universite de Toulouse, France.
Erscheinungsdatum | 31.05.2022 |
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Reihe/Serie | Memoirs of the American Mathematical Society |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 194 g |
Themenwelt | Mathematik / Informatik ► Mathematik |
ISBN-10 | 1-4704-5143-3 / 1470451433 |
ISBN-13 | 978-1-4704-5143-1 / 9781470451431 |
Zustand | Neuware |
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