60 citations · 178 across the 31 of their papers we have counts for
34 papers
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…
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…
A note on Strichartz estimates for the wave equation with orthonormal initial data
Neal Bez, Shinya Kinoshita, Shobu Shiraki
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…
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Neal Bez, Shinya Kinoshita, Shobu Shiraki
We consider maximal estimates associated with fermionic systems. First we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cas…
Revisiting the Rellich inequality
Neal Bez, Shuji Machihara, Tohru Ozawa
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…
Higher order transversality in harmonic analysis
Jonathan Bennett, Neal Bez
In differential topology two smooth submanifolds and of euclidean space are said to be transverse if the tangent spaces at each common point together form a spanning se…