Cesàro means of orthogonal expansions in several variables

Details Cesàro means of orthogonal expansions in several variables Cesàro means of orthogonal expansions in several variables

2007-05-17

arxiv.org/abs/0705.2477v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Ces\`aro $(C,\delta)$ means are studied for orthogonal expansions with respect to the weight function $\prod_{i=1}^{d}|x_i|^{2\k_i}$ 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 $(C,\d)$ kernel with $\d > -1$ and for the kernel of the projection operator, which allows us to derive the exact order for the norm of the Ces\`aro means and the projection operator on these domains.

Affiliated with

Also associated with

No associations

Rating

Cesàro means of orthogonal expansions in several variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cesàro means of orthogonal expansions in several variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cesàro means of orthogonal expansions in several variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142046