Chen, Peng; Li, Ji; Ward, Lesley; Yan, Lixin Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator. (English) Zbl 1484.42012 C. R., Math., Acad. Sci. Paris 360, 111-126 (2022). Summary: We obtain weak-type \((p,p)\) endpoint bounds for Bochner-Riesz means for the Hermite operator \(H=-\Delta+|x|^2\) in \(\mathbb{R}^n\), \(n\geq 2\) and for other related operators, for \(1\leq p\leq 2n/(n+2)\), extending earlier results of S. Thangavelu [Trans. Am. Math. Soc. 314, No. 1, 119–142 (1989; Zbl 0685.42015)] and of G. E. Karadzhov [C. R. Acad. Bulg. Sci. 47, No. 2, 5–8 (1994; Zbl 0829.40003)]. Cited in 1 Document MSC: 42B15 Multipliers for harmonic analysis in several variables 42B25 Maximal functions, Littlewood-Paley theory 42B08 Summability in several variables 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 42C25 Uniqueness and localization for orthogonal series 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Keywords:Riesz summability; Riesz means Citations:Zbl 0685.42015; Zbl 0829.40003 PDFBibTeX XMLCite \textit{P. Chen} et al., C. R., Math., Acad. Sci. Paris 360, 111--126 (2022; Zbl 1484.42012) Full Text: DOI arXiv References: [1] Bourgain, Jean; Guth, Larry, Bounds on oscillatory integral operators based on multilinear estimates, Geom. Funct. Anal., 21, 6, 1239-1295 (2011) · Zbl 1237.42010 [2] Carleson, Lennart; Sjölin, Per, Oscillatory integrals and a multiplier problem for the disc, Stud. 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