{"paper":{"title":"Norm of the Bergman projection onto the Bloch spave","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"David Kalaj, Djordjije Vujadinovic","submitted_at":"2014-06-27T07:06:49Z","abstract_excerpt":"We consider weighted Bergman projection $P_{\\alpha}: L^{\\infty}(\\Bbb B) \\rightarrow {\\cal B} $ where $\\alpha>-1$ and $\\cal B$ is the Bloch space of the unit ball $\\Bbb B$ of the complex space $\\Bbb C^n.$ We obtain the exact norm of the operator $P_{\\alpha}$ where the Bloch space is observed as a space with norm (and semi-norm) induced from the Besov space $B_{p},0<p<\\infty,(B_{\\infty}=\\cal B).$ Our work contains, as a special case, the main results from \\cite{Kalaj} and \\cite{Ant}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7083","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"}