{"paper":{"title":"On some equivalent definitions of $\\rho$- Carleson measures on the unit ball","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.CA","authors_text":"Benoit F. Sehba","submitted_at":"2008-05-29T16:12:59Z","abstract_excerpt":"We give in this paper some equivalent definitions of the so called $\\rho$-Carleson measures when $\\rho(t)=(\\log(4/t))^p(\\log\\log(e^4/t))^q$, $0\\le p,q<\\infty$. As applications, we characterize the pointwise multipliers on $LMOA(\\mathbb S^n)$ and from this space to $BMOA(\\mathbb S^n)$. Boundedness of the Ces\\`aro type integral operators on $LMOA(\\mathbb S^n)$ and from $LMOA(\\mathbb S^n)$ to $BMOA(\\mathbb S^n)$ is considered as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4448","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"}