Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Bez, Neal"'
Relying substantially on work of Garg, Gurvits, Oliveira and Wigderson, it is shown that geometric Brascamp--Lieb data are, in a certain sense, ubiquitous. This addresses a question raised by Bennett and Tao in their recent work on the adjoint Brasca
Externí odkaz:
http://arxiv.org/abs/2407.21440
This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to be a reasonable conjecture regarding the cases which have been left op
Externí odkaz:
http://arxiv.org/abs/2306.14547
We consider maximal estimates associated with fermionic systems. First we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many-body Strichartz estimates pioneered by Frank, Lewin, Li
Externí odkaz:
http://arxiv.org/abs/2306.14536
We revisit the Rellich inequality from the viewpoint of isolating the contributions from radial and spherical derivatives. This naturally leads to a comparison of the norms of the radial Laplacian and Laplace{Beltrami operators with the standard Lapl
Externí odkaz:
http://arxiv.org/abs/2209.02928
Autor:
Bennett, Jonathan, Bez, Neal
Publikováno v:
RIMS K\^oky\^uroku Bessatsu B88 (2021), 75-103
In differential topology two smooth submanifolds $S_1$ and $S_2$ of euclidean space are said to be transverse if the tangent spaces at each common point together form a spanning set. The purpose of this article is to explore a much more general notio
Externí odkaz:
http://arxiv.org/abs/2203.06571
Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality
We provide deficit estimates for Nelson's hypercontractivity inequality, the logarithmic Sobolev inequality, and Talagrand's transportation cost inequality under the restriction that the inputs are semi-log-subharmonic, semi-log-convex, or semi-log-c
Externí odkaz:
http://arxiv.org/abs/2201.12478
Autor:
Bez, Neal, Nakamura, Shohei
Given any (forward) Brascamp--Lieb inequality on euclidean space, a famous theorem of Lieb guarantees that gaussian near-maximizers always exist. Recently, Barthe and Wolff used mass transportation techniques to establish a counterpart to Lieb's theo
Externí odkaz:
http://arxiv.org/abs/2110.02841
Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality
Publikováno v:
In Journal of Functional Analysis 15 November 2023 285(10)
We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein-Gordon and fractional Schr\"odinger equations. Our estimates extend those of Frank-Sabin in the case of the wave and Klein-Gordon equations,
Externí odkaz:
http://arxiv.org/abs/1910.03407
For the one-dimensional Schr\"odinger equation, we obtain sharp maximal-in-time and maximal-in-space estimates for systems of orthonormal initial data. The maximal-in-time estimates generalize a classical result of Kenig--Ponce--Vega and allow us obt
Externí odkaz:
http://arxiv.org/abs/1909.06047