{"paper":{"title":"Sharp estimates for the Szeg\\H{o} projection on the distinguished boundary of model worm domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Alessandro Monguzzi, Marco M. Peloso","submitted_at":"2016-11-23T10:44:51Z","abstract_excerpt":"In this paper we study the regularity of the Szeg\\H{o} projection on Lebesgue and Sobolev spaces on the distinguished boundary of the unbounded model worm domain $D_\\beta$.\n  We denote by $d_b(D_\\beta)$ the distinguished boundary of $D_\\beta$ and define the corresponding Hardy space $\\mathscr{H}^2(D_\\beta)$. This can be identified with a closed subspace of $L^2(d_b(D_\\beta),d\\sigma)$, that we denote by $\\mathscr{H}^2(d_b(D_\\beta))$, where $d\\sigma$ is the naturally induced measure on $d_b(D_\\beta)$.\n  The orthogonal Hilbert space projection $\\mathscr{P}: L^2(d_b(D_\\beta),d\\sigma)\\to \\mathscr{H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07734","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"}