{"paper":{"title":"Maximal Function Characterizations of Variable Hardy Spaces Associated with Non-negative Self-adjoint Operators Satisfying Gaussian Estimates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Ciqiang Zhuo, Dachun Yang","submitted_at":"2016-01-28T01:29:17Z","abstract_excerpt":"Let $p(\\cdot):\\ \\mathbb R^n\\to(0,1]$ be a variable exponent function satisfying the globally $\\log$-H\\\"older continuous condition and $L$ a non-negative self-adjoint operator on $L^2(\\mathbb R^n)$ whose heat kernels satisfying the Gaussian upper bound estimates. Let $H_L^{p(\\cdot)}(\\mathbb R^n)$ be the variable exponent Hardy space defined via the Lusin area function associated with the heat kernels $\\{e^{-t^2L}\\}_{t\\in (0,\\infty)}$. In this article, the authors first establish the atomic characterization of $H_L^{p(\\cdot)}(\\mathbb R^n)$; using this, the authors then obtain its non-tangential "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07615","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"}