{"paper":{"title":"Weighted norm inequalities for polynomial expansions associated to some measures with mass points","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Francisco J. Ruiz, Jos\\'e J. Guadalupe, Juan Luis Varona, Mario P\\'erez","submitted_at":"1995-05-31T00:00:00Z","abstract_excerpt":"Fourier series in orthogonal polynomials with respect to a measure $\\nu$ on $[-1,1]$ are studied when $\\nu$ is a linear combination of a generalized Jacobi weight and finitely many Dirac deltas in $[-1,1]$. We prove some weighted norm inequalities for the partial sum operators $S_n$, their maximal operator $S^*$ and the commutator $[M_b, S_n]$, where $M_b$ denotes the operator of pointwise multiplication by $b \\in \\BMO$. We also prove some norm inequalities for $S_n$ when $\\nu$ is a sum of a Laguerre weight on $\\R^+$ and a positive mass on $0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9505214","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"}