{"paper":{"title":"On the $L_{\\mathrm{YJ}}(\\xi, \\eta, X)$ constant for the Bana\\'s-Fr\\k{a}czek space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Linhui Chen, Muhammad Sarfraz, Qi Liu, Xiewei Tan, Yuxin Wang","submitted_at":"2024-11-20T12:54:13Z","abstract_excerpt":"In this paper, for any $\\lambda \\geq 1, R_\\lambda^2$ is the Bana\\'s-Fr\\k{a}czek space. The exact value of $L_{\\mathrm{YJ}}(\\xi, \\eta, X)$ for this space will be calculated. Specifically, $L_{\\mathrm{YJ}}\\left(\\xi, \\eta, R_\\lambda^2\\right)=1+\\frac{2 \\xi \\eta}{\\xi^2+\\eta^2}\\left(1-\\frac{1}{\\lambda^2}\\right)$ is the result thereafter through meticilous computation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13285","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/2411.13285/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"}