Description

Book Synopsis
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.

Positive Gaussian Kernels Also Have Gaussian

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    A Paperback by Franck Barthe, Pawel Wolff

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 6/30/2022 12:00:00 AM
      ISBN13: 9781470451431, 978-1470451431
      ISBN10: 1470451433

      Description

      Book Synopsis
      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.

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