{"paper":{"title":"Some embeddings of Morrey spaces with critical smoothness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.FA","authors_text":"Dorothee D. Haroske, Leszek Skrzypczak, Susana D. Moura","submitted_at":"2019-05-23T15:10:31Z","abstract_excerpt":"We study embeddings of Besov-Morrey spaces ${\\cal N}^{s}_{u,p,q}}({\\mathbb R}^d)$ and of Triebel-Lizorkin-Morrey spaces ${\\cal E}^{s}_{u,p,q}}({\\mathbb R}^d)$ in the limiting cases when the smoothness $s$ equals $s_0=d\\max(1/u-p/u,0)$ or $s_{\\infty}=d/u$, which is related to the embeddings in $L_1^{loc}({\\mathbb R}^d)$ or in $L_\\infty({\\mathbb R}^d)$, respectively. When $s=s_0$ we characterise the embeddings in $L_1^{loc}({\\mathbb R}^d)$ and when $s=s_{\\infty}$ we obtain embeddings into Orlicz-Morrey spaces of exponential type and into generalised Morrey spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09703","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"}