{"paper":{"title":"Weighted norm inequalities for multisublinear maximal operator in martingale spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Peide Liu, Wei Chen","submitted_at":"2013-06-07T13:45:23Z","abstract_excerpt":"Let $v,~\\omega_1, ~\\omega_2$ be weights and $1<p_1, ~p_2<\\infty.$ Suppose that $\\frac{1}{p}=\\frac{1}{p_1}+\\frac{1}{p_2}$ and $(\\omega_1, \\omega_2)\\in RH(p_1, p_2).$ For the multisublinear maximal operator $\\mathfrak{M}$ in martingale spaces, we characterize the weights for which $\\mathfrak{M}$ is bounded from $L^{p_1}(\\omega_1)\\times L^{p_2}(\\omega_2)$ to $L^{p,\\infty}(v)\\hbox{or}L^p(v).$ If $v=\\omega_2^{\\frac{p}{p_2}}\\omega_2^{\\frac{p}{p_2}},$ we partially give the bilinear version of one-weight theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1724","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"}