2 papers
math.CA2026
Endpoint orthonormal Strichartz estimates
Sonae Hadama, Shunya Toyoshima
We establish the orthonormal Strichartz estimates in the abstract Keel--Tao framework, under precisely the same hypotheses as in their original theorem. As an important consequence…
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…