{"paper":{"title":"Bilinear Decompositions of Products of Hardy and Lipschitz Spaces Through Wavelets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Dachun Yang, Jun Cao, Luong Dang Ky","submitted_at":"2015-10-15T03:02:41Z","abstract_excerpt":"The aim of this article is to give a complete solution to the problem of the bilinear decompositions of the products of some Hardy spaces $H^p(\\mathbb{R}^n)$ and their duals in the case when $p<1$ and near to $1$, via wavelets, paraproducts and the theory of bilinear Calder\\'on-Zygmund operators. Precisely, the authors establish the bilinear decompositions of the product spaces $H^p(\\mathbb{R}^n)\\times\\dot\\Lambda_{\\alpha} (\\mathbb{R}^n)$ and $H^p(\\mathbb{R}^n)\\times\\Lambda_{\\alpha}(\\mathbb{R}^n)$, where, for all $p\\in(\\frac{n}{n+1},\\,1)$ and $\\alpha:=n(\\frac{1}{p}-1)$, $H^p(\\mathbb{R}^n)$ deno"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04384","kind":"arxiv","version":3},"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"}