Hardy and Rellich type inequalities with two weight functions
Hardy and Rellich type inequalities with two weight functions
In the present paper we prove several sharp two-weight Hardy, Hardy-Poincaré, and Rellich type inequalities on the sub-Riemannian manifold R 2n+1 = R n × R n × R defined by the vector fields:where (z,y) = (x,y,l) ∈ R 2n+1 , |z| = (|x| 2 + |y| 2 ) 1/2 …