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- W3100222487 abstract "We study the Cesàro means of the orthogonal polynomial expansions (OPEs) with respect to the weight function ∏i=1d|xi|2κi on the unit sphere Sd−1⊂Rd for all parameters κ1,⋯,κd>−12. We obtain sharp pointwise estimates for the corresponding Cesàro kernels, which were previously known when all parameters are nonnegative. We settle the problem for the case when min1≤j≤dκj<0. Our estimates allow us to establish sharp results on Cesàro summability with less restriction on the parameters. We also establish similar results for the corresponding weighted OPEs on the unit ball and on the simplex." @default.
- W3100222487 created "2020-11-23" @default.
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- W3100222487 date "2021-02-01" @default.
- W3100222487 modified "2023-09-25" @default.
- W3100222487 title "Sharp estimates of the Cesàro kernels for weighted orthogonal polynomial expansions in several variables" @default.
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- W3100222487 doi "https://doi.org/10.1016/j.jfa.2020.108865" @default.
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