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September 10, 2025Open Access

Mini-Workshop: Hardy Inequalities in Discrete and Continuum Settings

Key Points

Hardy inequalities impact various mathematical fields, enhancing understanding of complex concepts and applications.
The workshop gathered experts to discuss optimal hardy weights, fractional laplacians, and sub-riemannian analogues.
Engaging discussions on dirac operators and their role in potential theory framed much of the workshop's agenda.
Collaborative efforts in operator theory and differential equations showcased innovative research and ongoing challenges.

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.

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Journals

Oberwolfach Reports

Institutions

Technion – Israel Institute of Technology

University of Potsdam

Polytechnic University of Turin

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