{"paper":{"title":"Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Evgueni Doubtsov","submitted_at":"2017-11-06T17:23:06Z","abstract_excerpt":"Let $\\mathbb{D}$ denote the unit disk of $\\mathbb{C}$ and let $\\Lambda^\\alpha(\\mathbb{D})$ denote the scale of holomorphic Lipschitz spaces extended to all $\\alpha\\in\\mathbb{R}$. For arbitrary $\\alpha, \\beta\\in\\mathbb{R}$, we characterize the bounded weighted composition operators from $\\Lambda^\\beta(\\mathbb{D})$ into $\\Lambda^\\alpha(\\mathbb{D})$ and estimate their essential norms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02024","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"}