Mini-Workshop: Hardy Inequalities in Discrete and Continuum Settings

Abstract

Hardy inequalities play a fundamental role in various fields, such as mathematical physics, operator theory, the analysis of partial differential equations, potential theory, and probability theory. The goal of this workshop was to bring together leading experts to foster cross-interactions between them, with special focus on the following three topics, which naturally overlap: optimal Hardy weights on manifolds and graphs; fractional Laplacians; Sub-Riemannian analogues, magnetic Laplacians and Dirac operators.