{"paper":{"title":"On the maximal operators of Walsh-Kaczmarz-Fej\\'er means","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"George Tephnadze","submitted_at":"2014-10-05T02:42:33Z","abstract_excerpt":"The main aim of this paper is to prove that the maximal operator $\\sigma_{p}^{\\kappa ,\\ast }f:=\\sup_{n\\in \\mathbf{P}}\\left\\vert \\sigma_{n}^{\\kappa }f\\right\\vert /\\left( n+1\\right) ^{1/p-2}$ is bounded from the Hardy space $% H_{p}$ to the space $L_{p},$ for $0<p<1/2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6721","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"}