Local and non-local improved Hardy inequalities with weights
Summary: The main result in this paper is an improved Hardy inequality for functions in weighted Sobolev spaces, for a class of potentials that perturbs the inverse square potentials and for weight functions satisfying the Hölder condition. As a consequence, we derive some local improved Hardy inequalities. An application to evolution problems with Kolmogorov operators is shown.
scientific article; zbMATH DE number 7602452
scientific article