{"paper":{"title":"Improved fractional Poincar\\'e type inequalities on John domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Irene Drelichman, Javier C. Mart\\'inez-Perales, Mar\\'ia Eugenia Cejas","submitted_at":"2019-02-27T15:16:30Z","abstract_excerpt":"We obtain improved fractional Poincar\\'e inequalities in John domains of a metric space $(X, d)$ endowed with a doubling measure $\\mu$ under some mild regularity conditions on the measure $\\mu$. We also give sufficient conditions on a bounded domain to support fractional Poincar\\'e type inequalities in this setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10578","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"}