{"paper":{"title":"A Hardy Inequality for subelliptic operators with global fundamental solution, and an application to Unique Continuation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Bonfiglioli, Stefano Biagi","submitted_at":"2015-12-23T17:49:03Z","abstract_excerpt":"This is a chapter from PhD Thesis by Stefano Biagi \n(advisor: prof. A. Bonfiglioli).\n\nWe overview existing results showing that it is possible to generalize the classical Hardy's Inequality to more general linear partial differential operators (PDOs, in the sequel), possibly degenerate-elliptic, of the following quasi-divergence form $$ \\mathcal{L} = \\frac{1}{w(x)}\\sum_{i = 1}^N\\frac{\\partial}{\\partial x_i}\n  \\left(\\sum_{j = 1}^Nw(x)a_{ij}(x)\\frac{\\partial}{\\partial x_j}\\right), \\quad x \\in \\mathbb{R}^N, $$ where $w \\in C^{\\infty}(\\mathbb{R}^N,\\mathbb{R})$ is a (smooth and) strictly positive f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07559","kind":"arxiv","version":4},"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"}