{"paper":{"title":"Carleson measures for Besov-Sobolev spaces with applications in the unit ball of $C^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Caiheng Ouyang, Ru Peng","submitted_at":"2011-09-05T07:12:41Z","abstract_excerpt":"This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces $B_p^\\sigma (B)$ and $p$-Carleson measure in the unit ball of ${\\bf C}^n$. As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on $B_p^\\sigma (B)$ spaces by means of Carleson measures for $B_p^\\sigma (B)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0814","kind":"arxiv","version":2},"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"}