{"paper":{"title":"Anisotropic Gevrey-H\\\"ormander pseudo-differential operators on modulation spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ahmed Abdeljawad, Joachim Toft","submitted_at":"2018-06-25T12:48:37Z","abstract_excerpt":"We show continuity properties for the pseudo-differential operator $\\operatorname{Op} (a)$ from $M(\\omega _0\\omega ,\\mathscr B )$ to $M(\\omega ,\\mathscr B )$, for fixed $s,\\sigma \\ge 1$, $\\omega ,\\omega _0\\in \\mathscr P _{s,\\sigma}^0$ ($\\omega ,\\omega _0\\in \\mathscr P _{s,\\sigma}$), $a\\in \\Gamma ^{\\sigma,s}_{(\\omega _0)}$ ($a\\in \\Gamma ^{\\sigma,s;0}_{(\\omega _0)}$) , and $\\mathscr B$ is an invariant Banach function space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10002","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"}