3 papers
math.AP2026
Fractional Hardy--Maz'ya inequality on a half-space
Michał Kijaczko, Antoni Szczukiewicz
The main purpose of this article is to provide a fractional counterpart of the well-known Maz'ya inequality on the half-space, that is $$ \int_{\mathbb{R}^{d}_{+}}\int_{\mathbb{R}^…
math.CA2026
Critical discrete Hardy inequalities in
Krzysztof Bogdan, Shubham Gupta, Kamil Kaleta +1
We establish ground-state representations and critical Hardy inequalities in the discrete setting. In particular, we construct critical Hardy weights for the discrete Dirichl…
math.AP2026
Critical fractional Hardy inequalities
Krzysztof Bogdan, Bartłomiej Dyda, Antoni Szczukiewicz
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 th…