{"paper":{"title":"Boundedness of commutators generated by m-th Calder\\'on-Zygmund type singular integrals and local Campanato functions on generalized local Morrey spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hongyang Xue, Huixia Mo","submitted_at":"2015-06-10T06:58:09Z","abstract_excerpt":"Let $T_m$ be the $m$-th Calder\\'on-Zygmund type singular integral. In the paper, we consider the boundedness of $T_m$ on the generalized product local Morrey spaces $LM_{p_1,\\varphi_1}^{\\{x_0\\}}\\times LM_{p_2,\\varphi_2}^{\\{x_0\\}}\\times\\dots\\times LM_{p_m,\\varphi_m}^{\\{x_0\\}}.$ And, the boundedness of the commutators of $T_m$ with local Campanato functions is obtained, also."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.03187","kind":"arxiv","version":2},"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"}