{"paper":{"title":"Singular Integrals Associated to Hypersurfaces: $L^2$ Theory","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"James Wright, Sarah Ziesler, Stephen Wainger","submitted_at":"1997-11-24T00:00:00Z","abstract_excerpt":"We consider singular integrals associated to a classical Calder\\'on-Zygmund kernel $K$ and a hypersurface given by the graph of $\\varphi(\\psi(t))$ where $\\varphi$ is an arbitrary $C^1$ function and $\\psi$ is a smooth convex function of finite type. We give a characterization of those Calder\\'on-Zygmund kernels $K$ and convex functions $\\psi$ so that the associated singular integral operator is bounded on $L^2$ for all $C^1$ functions $\\varphi$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9711212","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"}