Bartłomiej Dyda

collaborators

3 papers

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…

math.AP2025

The Dirichlet Problem For the Logarithmic p-Laplacian

BartÅomiej Dyda, Sven Jarohs, Firoj Sk

We introduce and study the logarithmic $p$ -Laplacian $L_{I^_{p}}$ , which emerges from the formal derivative of the fractional $p$ -Laplacian $(- I^_{p})^{s}$ at $s = 0$ . This operator is non…

math.FA2025

Fractional and non-fractional Hardy inequality on a lattice $Z^{d}$

BartÅomiej Dyda

We present simple proofs of a discrete fractional and non-fractional Hardy inequality, Our constants are explicit, but not optimal. In the class of power weights, we get a complete…

Critical fractional Hardy inequalities

The Dirichlet Problem For the Logarithmic p-Laplacian

Fractional and non-fractional Hardy inequality on a lattice Zd

Fractional and non-fractional Hardy inequality on a lattice $Z^{d}$