3 papers
math.CA2026
Orthonormal Sobolev estimates with fractal measures
Neal Bez, Keith M. Rogers, Shunya Toyoshima
We prove a fractal version of Lieb's Hardy-Littlewood-Sobolev inequality for orthonormal functions. On the one hand, this can be viewed as a trace theorem for orthonormal functions…
math.CA2025
Mizohata-Takeuchi inequalities for orthonormal systems
Jonathan Bennett, Neal Bez, Susana Gutierrez +2
We establish some weighted inequalities for Fourier extension operators in the setting of orthonormal systems. In the process we develop a direct approach to such inequalitie…
math.CA2024
Regularized Brascamp--Lieb inequalities
Neal Bez, Shohei Nakamura
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 ma…