Boundary Strichartz estimates and pointwise convergence for orthonormal systems

Neal Bez; Shinya Kinoshita; Shobu Shiraki

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Boundary Strichartz estimates and pointwise convergence for orthonormal systems

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arxiv 2306.14536 v1 pith:JZVWAMMJ submitted 2023-06-26 math.AP math.CA

Boundary Strichartz estimates and pointwise convergence for orthonormal systems

Neal Bez , Shinya Kinoshita , Shobu Shiraki This is my paper

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keywords estimatessystemsboundaryconvergencefermionicfirstmaximalpointwise

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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.

Boundary Strichartz estimates and pointwise convergence for orthonormal systems

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