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Estimates of the maximal Cesaro operators of the weighted orthogonal polynomial expansions in several variablesDownload
Estimates of the maximal Cesaro means at the "critical index'' are established for the orthogonal polynomial expansions (OPEs) with respect to the weight function on the unit sphere. These estimates allow us to improve several known results in this area, including the almost everywhere (a.e.)...
The thesis consists of two closely related parts: (i) Cesaro summability of the spherical h-harmonic expansions on the unit sphere, and (ii) Bochner-Riesz summability of the inverse Dunkl transforms on d-dimensional real space, both being studied with respect to the weight that is invariant under...