{"paper":{"title":"Sharp pointwise estimates for functions in the Sobolev spaces Hs(Rn)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Janaina P. Zingano, Juliana S. Ziebel, Lineia Schutz, Paulo R. Zingano","submitted_at":"2016-02-05T00:59:32Z","abstract_excerpt":"We obtain the optimal value of the constant K(n,s) in the Sobolev-Nirenberg-Gagliardo inequality $ \\|\\,u\\,\\|_{L^{\\infty}(\\mathbb{R}^{n})} \\leq K(n,s) \\,\\|\\, u \\,\\|_{L^{2}(\\mathbb{R}^{n})}^{1 - n/(2s)} \\|\\, u \\,\\|_{\\dot{H}^{s}(\\mathbb{R}^{n})}^{n/(2s)} $ where $ s > n/2 $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01902","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"}