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Boundary Strichartz estimates and pointwise convergence for orthonormal systems (2306.14536v1)
Published 26 Jun 2023 in math.AP and math.CA
Abstract: 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, Lieb and Seiringer. We also prove new maximal-in-time estimates, thereby significantly extending work of Lee, Nakamura and the first author on Carleson's pointwise convergence problem for fermionic systems.
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