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Improved Hardy and Rellich type inequalities with two weight functions

Improved Hardy and Rellich type inequalities with two weight functions

In this work, we obtain several improved versions of two weight Hardy and Rellich type inequalities on the sub-Riemannian manifold R 2n+1 defined by the vector fieldswhere (z,l) = (x,y,l) ∈ R 2n+1 , |z| = (|x| 2 + |y| 2 ) 1/2 and k 1 .Mathematics subject classification (2010): …