Julia Lenczewska

activity

20212024

most citedSharp Hardy inequalities for Sobolev-Bregman forms

4 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2024

Hardy inequalities and nonlocal capacity

Tomasz Grzywny, Julia Lenczewska

In this article, we introduce and study capacities related to nonlocal Sobolev spaces, with focus on spaces corresponding to zero-order nonlocal operators. In particular, we prove…

math.AP2023

Asymptotics and geometric flows for a class of nonlocal curvatures

Wojciech Cygan, Tomasz Grzywny, Julia Lenczewska

We consider a family of nonlocal curvatures determined through a kernel which is symmetric and bounded from above by a radial and radially non-increasing profile satisfying an inte…

math.PR2022

Asymptotic expansion of the nonlocal heat content

Tomasz Grzywny, Julia Lenczewska

Let $X = {X_{t}}_{t \geq 0}$ be a Lévy process in $R^{d}$ and $Ω$ be an open subset of $R^{d}$ with finite Lebesgue measure. In this article we consider the qua…

math.AP2021★ 4 cited

Sharp Hardy inequalities for Sobolev-Bregman forms

Michał Kijaczko, Julia Lenczewska

We obtain sharp fractional Hardy inequalities for the half-space and for convex domains. We extend the results of Bogdan and Dyda and of Loss and Sloane to the setting of Sobolev-B…

math.AP2021

Optimal Hardy inequality for the fractional Laplacian on $L^{p}$

Krzysztof Bogdan, Tomasz Jakubowski, Julia Lenczewska +1

For the fractional Laplacian we give Hardy inequality which is optimal in $L^{p}$ for $1 < p < \infty$ . As an application, we explicitly characterize the contractivity of the correspondi…