{"paper":{"title":"Compact differences of composition operators from Bloch space to bounded holomorphic function space in the Polydisc","license":"","headline":"","cross_cats":["math.CV"],"primary_cat":"math.FA","authors_text":"Ze-Hua Zhou, Zhong-Shan Fang","submitted_at":"2007-09-10T15:58:30Z","abstract_excerpt":"Let $\\phi$ and $\\psi$ be holomorphic self-maps of the unit polydisc $U^n$ in the $n$-dimensional complex space, and denote by $C_{\\phi}$ and $C_{\\psi}$ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_{\\phi}-C_{\\psi}$ from Bloch space to bounded holomorphic function space in the unit polydisc. Moreover the compactness of the difference is also characterized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.1420","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"}