Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Abstract We consider maximal estimates associated with fermionic systems. Firstly, 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 ma...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-12-01
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| Series: | Transactions of the London Mathematical Society |
| Online Access: | https://doi.org/10.1112/tlm3.70002 |
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| _version_ | 1850169030458998784 |
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| author | Neal Bez Shinya Kinoshita Shobu Shiraki |
| author_facet | Neal Bez Shinya Kinoshita Shobu Shiraki |
| author_sort | Neal Bez |
| collection | DOAJ |
| description | Abstract We consider maximal estimates associated with fermionic systems. Firstly, 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. |
| format | Article |
| id | doaj-art-4973642a862245fa9ebafa59c4a944c5 |
| institution | OA Journals |
| issn | 2052-4986 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | Transactions of the London Mathematical Society |
| spelling | doaj-art-4973642a862245fa9ebafa59c4a944c52025-08-20T02:20:51ZengWileyTransactions of the London Mathematical Society2052-49862024-12-01111n/an/a10.1112/tlm3.70002Boundary Strichartz estimates and pointwise convergence for orthonormal systemsNeal Bez0Shinya Kinoshita1Shobu Shiraki2Graduate School of Mathematics Nagoya University Nagoya JapanDepartment of Mathematics Institute of Science Tokyo Meguro‐ku Tokyo JapanDepartamento de Matemática Instituto Superior Técnico Lisboa PortugalAbstract We consider maximal estimates associated with fermionic systems. Firstly, 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.https://doi.org/10.1112/tlm3.70002 |
| spellingShingle | Neal Bez Shinya Kinoshita Shobu Shiraki Boundary Strichartz estimates and pointwise convergence for orthonormal systems Transactions of the London Mathematical Society |
| title | Boundary Strichartz estimates and pointwise convergence for orthonormal systems |
| title_full | Boundary Strichartz estimates and pointwise convergence for orthonormal systems |
| title_fullStr | Boundary Strichartz estimates and pointwise convergence for orthonormal systems |
| title_full_unstemmed | Boundary Strichartz estimates and pointwise convergence for orthonormal systems |
| title_short | Boundary Strichartz estimates and pointwise convergence for orthonormal systems |
| title_sort | boundary strichartz estimates and pointwise convergence for orthonormal systems |
| url | https://doi.org/10.1112/tlm3.70002 |
| work_keys_str_mv | AT nealbez boundarystrichartzestimatesandpointwiseconvergencefororthonormalsystems AT shinyakinoshita boundarystrichartzestimatesandpointwiseconvergencefororthonormalsystems AT shobushiraki boundarystrichartzestimatesandpointwiseconvergencefororthonormalsystems |