Cesàro Means of Orthogonal Expansions in Several Variables
نویسندگان
چکیده
Cesàro (C, δ) means are studied for orthogonal expansions with respect to the weight function ∏d i=1 |xi |2κi on the unit sphere, and for the corresponding weight functions on the unit ball and the Jacobi weight on the simplex. A sharp pointwise estimate is established for the (C, δ) kernel with δ >−1 and for the kernel of the projection operator, which allows us to derive the exact order for the norm of the Cesàro means and the projection operator on these domains.
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تاریخ انتشار 2008