{"paper":{"title":"A weighted L^2 estimate of Commutators of Bochner-Riesz Operators for Hermite operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Peng Chen, Xixi Lin","submitted_at":"2023-03-09T12:31:18Z","abstract_excerpt":"Let H be the Hermite operator -\\Delta +|x|^2 on \\mathbb{R}^n. We prove a weighted L^2 estimate of the maximal commutator operator \\sup_{R>0}|[b, S_R^\\lambda(H)](f)|, where [b, S_R^\\lambda(H)](f) = bS_R^\\lambda(H) f - S_R^\\lambda(H)(bf) is the commutator of a BMO function b and the Bochner-Riesz means S_R^\\lambda(H) for the Hermite operator H. As an application, we obtain the almost everywhere convergence of [b, S_R^\\lambda(H)](f) for large \\lambda and f\\in L^p(\\mathbb{R}^n)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.05211","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.05211/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}