Leray - Trudinger and Fractional Hardy – Sobolev Inequalities with Adams Inequality on Hyperbolic Space

Abstract

The given improvement and critical with Sharp trace and fractional Hardy-Sobolev inequalities are studied. We also study affine and best constants Moser-Trudinger and higher order Sobolev inequalities on high dimensional hyperbolic spaces and Morrey-Sobolev and Leray-Trudinger inequalities. We describe the optimizing improved interpolated Hardy and trace Hardy inequalities on bounded domains. Sharp Adams-type inequalities on the Euclidean and the hyperbolic spaces are investigated.