A family of Sobolev Orthogonal Polynomials on the Unit Ball
  A family of orthonormal polynomials on the unit ball $B^d$ of $\RR^d$ with respect to the inner product $$   < f,g >   = \int_{B^d}\Delta[(1-\|x\|^2) f(x)] \Delta[(1-\|x\|) g(x)] dx, $$ where $\Delta$ is the Laplace operator, is constructed explicitly. 
Yuan Xu