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arXiv · 2608.24389

Critical fractional Hardy inequalities

Krzysztof Bogdan·Bartłomiej Dyda·Antoni Szczukiewicz
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Abstract

We give a roadmap for the study of critical fractional Hardy inequalities for Dirichlet and Sobolev--Bregman forms. We focus on homogeneous forms on the real line, in particular the form of the fractional Laplacian and the Servadei--Valdinoci form. We prove criticality results in both the Dirichlet and Sobolev--Bregman settings.

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Krzysztof Bogdan, Bartłomiej Dyda, Antoni Szczukiewicz. 2026-08-25. Critical fractional Hardy inequalities. https://arxiv.org/abs/2608.24389

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