{"paper":{"title":"On the Strichartz estimates for orthonormal systems of initial data with regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Neal Bez, Sanghyuk Lee, Shohei Nakamura, Yoshihiro Sawano, Younghun Hong","submitted_at":"2017-08-18T12:55:38Z","abstract_excerpt":"The classical Strichartz estimates for the free Schr\\\"odinger propagator have recently been substantially generalised to estimates of the form \\[ \\bigg\\|\\sum_j\\lambda_j|e^{it\\Delta}f_j|^2\\bigg\\|_{L^p_tL^q_x}\\lesssim\\|\\lambda\\|_{\\ell^\\alpha} \\] for orthonormal systems $(f_j)_j$ of initial data in $L^2$, firstly in work of Frank--Lewin--Lieb--Seiringer and later by Frank--Sabin. The primary objective is identifying the largest possible $\\alpha$ as a function of $p$ and $q$, and in contrast to the classical case, for such estimates the critical case turns out to be $(p,q) = (\\frac{d+1}{d},\\frac{d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05588","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}