Representation of Reproducing Kernels and the Lebesgue Constants on the Ball

Abstract

For the weight function (1-@?x@?^2)^@m^-^1^/^2 on the unit ball, a closed formula of the reproducing kernel is modified to include the case -1/2 =0 is n^@m^+^(^d^-^1^)^/^2.