{"paper":{"title":"Complex interpolation of Hardy-type subspaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Nigel J. Kalton","submitted_at":"1994-02-11T21:04:26Z","abstract_excerpt":"We consider the problem of complex interpolation of certain Hardy-type subspaces of K\\\"othe function spaces. For example, suppose $X_0$ and $X_1$ are K\\\"othe function spaces on the unit circle $\\bold T,$ and let $H_{X_0}$ and $H_{X_1}$ be the corresponding Hardy spaces. Under mild conditions on $X_0,X_1$ we give a necessary and sufficient condition for the complex interpolation space $[H_{X_0},H_{X_1}]_{\\theta}$ to coincide with $H_{X_{\\theta}}$ where $X_{\\theta}=[X_0,X_1]_{\\theta}.$ We develop a very general framework for such results and our methods apply to many more general sitauations inc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9402206","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"}