{"paper":{"title":"An integral representation for Besov and Lipschitz spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kehe Zhu","submitted_at":"2011-01-15T16:00:50Z","abstract_excerpt":"It is well known that functions in the analytic Besov space $B_1$ on the unit disk $\\D$ admits an integral representation $$f(z)=\\ind\\frac{z-w}{1-z\\bar w}\\,d\\mu(w),$$ where $\\mu$ is a complex Borel measure with $|\\mu|(\\D)<\\infty$. We generalize this result to all Besov spaces $B_p$ with $0<p\\le1$ and all Lipschitz spaces $\\Lambda_t$ with $t>1$. We also obtain a version for Bergman and Fock spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2995","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"}