{"paper":{"title":"Boundary multipliers of a family of M\\\"obius invariant function spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Guanlong Bao, Jordi Pau","submitted_at":"2015-04-16T18:57:59Z","abstract_excerpt":"For $1<p<\\infty$ and $0<s<1$, let $\\mathcal{Q}^p_ s (\\mathbb{T})$ be the space of those functions $f$ which belong to\n  $ L^p(\\mathbb{T})$ and satisfy \\[ \\sup_{I\\subset \\mathbb{T}}\\frac{1}{|I|^s}\\int_I\\int_I\\frac{|f(\\zeta)-f(\\eta)|^p}{|\\zeta-\\eta|^{2-s}}|d\\zeta||d\\eta|<\\infty, \\] where $|I|$ is the length of an arc $I$ of the unit circle $\\mathbb{T}$ . In this paper, we give a complete description of multipliers between $\\mathcal{Q}^p_ s (\\mathbb{T})$ spaces. The spectra of multiplication operators on $\\mathcal{Q}^p_ s (\\mathbb{T})$ are also obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04338","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"}