Julia Lenczewska
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Julia Lenczewska has a total of 7 co-authors. Here are the top co-authors by number of shared publications:
- Tomasz Grzywny
Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wrocław, Poland
5 shared publications - Katarzyna Pietruska-Pałuba
Institute of Mathematics, University of Warsaw, Warsaw, Poland
2 shared publications - Krzysztof Bogdan
Department of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wrocław, Poland
2 shared publications - Michał Kijaczko
Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wrocław, Poland
2 shared publications Tomasz Jakubowski
1 shared publication- Tomasz Jakubowski
Wrocław University of Science and Technology, Wrocław, POLAND
1 shared publication
Latest Publications
- 23 January 2026
- Published by Springer Nature in Fractional Calculus and Applied Analysis
- Vol. 29 (1) , 494-542
Asymptotics and geometric flows for a class of nonlocal curvatures
- 23 January 2026
- Published by Springer Nature in Fractional Calculus and Applied Analysis
- Vol. 29 (1) , 494-542
Asymptotics and geometric flows for a class of nonlocal curvatures
- 12 August 2025
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
Hardy inequalities and nonlocal capacity
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 Hardy-type inequalities to obtain Sobolev embeddings and use them to estimate the nonlocal capacities of a ball.
- 12 August 2025
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
Hardy inequalities and nonlocal capacity
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 Hardy-type inequalities to obtain Sobolev embeddings and use them to estimate the nonlocal capacities of a ball.
- Open Access
Hardy inequalities and nonlocal capacity
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 Hardy-type inequalities to obtain Sobolev embeddings and use them to estimate the nonlocal capacities of a ball.
Open AccessHardy inequalities and nonlocal capacity
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 Hardy-type inequalities to obtain Sobolev embeddings and use them to estimate the nonlocal capacities of a ball.
- 9 July 2023
- Published by Wiley in Mathematische Nachrichten
- Vol. 297 (2) , 549-559
Sharp Hardy inequalities for Sobolev–Bregman forms
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–Bregman forms.
- 9 July 2023
- Published by Wiley in Mathematische Nachrichten
- Vol. 297 (2) , 549-559
Sharp Hardy inequalities for Sobolev–Bregman forms
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–Bregman forms.
- Open Access
Sharp Hardy inequalities for Sobolev-Bregman forms
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-Bregman forms.
Open AccessSharp Hardy inequalities for Sobolev-Bregman forms
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-Bregman forms.
- Open Access
Asymptotic expansion of the nonlocal heat content
Let $\mathbf{X}=\{X_t\}_{t\geq 0}$ be a L\'evy process in $\mathbb{R}^d$ and $\Omega$ be an open subset of $\mathbb{R}^d$ with finite Lebesgue measure. In this article we consider the quantity $H(t)=\int_{\Omega} \mathbb{P}^x (X_t\in\Omega^c) \, \mathrm{d}x$ which is called the heat content. We study its asymptotic expansion for isotropic $\alpha$-stable L\'evy processes and more general L\'evy processes, under mild assumptions on the characteristic exponent.Open AccessAsymptotic expansion of the nonlocal heat content
Let $\mathbf{X}=\{X_t\}_{t\geq 0}$ be a L\'evy process in $\mathbb{R}^d$ and $\Omega$ be an open subset of $\mathbb{R}^d$ with finite Lebesgue measure. In this article we consider the quantity $H(t)=\int_{\Omega} \mathbb{P}^x (X_t\in\Omega^c) \, \mathrm{d}x$ which is called the heat content. We study its asymptotic expansion for isotropic $\alpha$-stable L\'evy processes and more general L\'evy processes, under mild assumptions on the characteristic exponent. - Open Access
- 1 January 2023
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- Vol. 270 (3) , 1-21
Asymptotic expansion of the nonlocal heat content
Let $(p_t)_{t\geq 0}$ be a convolution semigroup of probability measures on $\mathbb R^d$ defined by $$\int _{\mathbb R^d} e^{i\langle \xi ,x\rangle }\, p_t(\mathrm d x)= e^{-t\psi (\xi )}, \quad \ \xi \in \mathbb R^d, $$ and let $\Omega $ be an open subs- 1 January 2023
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- Vol. 270 (3) , 1-21
Open AccessAsymptotic expansion of the nonlocal heat content
Let $(p_t)_{t\geq 0}$ be a convolution semigroup of probability measures on $\mathbb R^d$ defined by $$\int _{\mathbb R^d} e^{i\langle \xi ,x\rangle }\, p_t(\mathrm d x)= e^{-t\psi (\xi )}, \quad \ \xi \in \mathbb R^d, $$ and let $\Omega $ be an open subs - 20 January 2022
- Published by Elsevier in Journal of Functional Analysis
- Vol. 282 (8)
Optimal Hardy inequality for the fractional Laplacian on Lp
- 20 January 2022
- Published by Elsevier in Journal of Functional Analysis
- Vol. 282 (8)
Optimal Hardy inequality for the fractional Laplacian on Lp
- Open AccessOptimal Hardy inequality for the fractional Laplacian on $L^p$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 corresponding Feynman-Kac semigroups on $L^p$.Open AccessOptimal Hardy inequality for the fractional Laplacian on $L^p$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 corresponding Feynman-Kac semigroups on $L^p$.