{"paper":{"title":"Generalized Hardy-Morrey spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ali Akbulut, Takahiro Noi, Vagif Guliyev, Yoshihiro Sawano","submitted_at":"2015-11-06T10:17:13Z","abstract_excerpt":"The generalized Morrey space was defined independetly by T. Mizuhara 1991 and E. Nakai in 1994. Generalized Morrey space ${\\mathcal M}_{p,\\phi}({\\mathbb R}^n)$ is equipped with a parameter $0<p<\\infty$ and a function $\\phi:{\\mathbb R}^n \\times (0,\\infty) \\to (0,\\infty)$. Our experience shows that ${\\mathcal M}_{p,\\phi}({\\mathbb R}^n)$ is easy to handle when $1<p<\\infty$. However, when $0<p \\le 1$, the function space ${\\mathcal M}_{p,\\phi}({\\mathbb R}^n)$ is difficult to handle as many examples show.\n  The aim of this paper is twofold. One of them is to propose a way to deal with ${\\mathcal M}_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02020","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"}