{"paper":{"title":"Interpolating sequences for weighted Bergman spaces of the ball","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Miroljub Jevti\\'c, Pascal J. Thomas, Xavier Massaneda","submitted_at":"1995-11-21T20:50:30Z","abstract_excerpt":"Let $B_{\\alpha}^{p}$ be the space of $f$ holomorphic in the unit ball of $\\Bbb C^n$ such that $(1-|z|^2)^\\alpha f(z) \\in L^p$, where $0<p\\leq\\infty$, $\\alpha\\geq -1/p$ (weighted Bergman space).  In this paper we study the interpolating sequences for various $B_{\\alpha}^{p}$.  The limiting cases $\\alpha=-1/p$ and $p=\\infty$ are respectively the Hardy spaces $H^p$ and $A^{-\\alpha}$, the holomorphic functions with polynomial growth of order $\\alpha$, which have generated particular interest.\n  In \\S 1 we first collect some definitions and well-known facts about weighted Bergman spaces and then in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9511202","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"}