{"paper":{"title":"Continuity of 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":"Joachim Toft","submitted_at":"2017-10-31T08:08:38Z","abstract_excerpt":"Let $s\\ge 1$, $\\omega ,\\omega_0\\in \\mathscr P_{E,s}^0$, $a\\in \\Gamma _{s}^{(\\omega_0)}$, and let $\\mathscr B$ be a suitable invariant quasi-Banach function space, Then we prove that the pseudo-differential operator $\\operatorname{Op} (a)$ is continuous from $M(\\omega_0\\omega ,\\mathscr B )$ to $M(\\omega ,\\mathscr B )$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11366","kind":"arxiv","version":3},"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"}