Local and non-local improved Hardy inequalities with weights

  • Anna Canale

    Università degli Studi di Salerno, Fisciano, Italy
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Abstract

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.

Cite this article

Anna Canale, Local and non-local improved Hardy inequalities with weights. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 2, pp. 385–398

DOI 10.4171/RLM/974