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19982026
most citedIntegrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket

11 citations · 28 across the 16 of their papers we have counts for

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math.AP2021

Optimal Hardy inequality for the fractional Laplacian on

Krzysztof Bogdan, Tomasz Jakubowski, Julia Lenczewska +1

For the fractional Laplacian we give Hardy inequality which is optimal in for . As an application, we explicitly characterize the contractivity of the correspondi…

math.AP2020

Nonlinear nonlocal Douglas identity

Krzysztof Bogdan, Tomasz Grzywny, Katarzyna Pietruska-Pałuba +1

We give Hardy-Stein and Douglas identities for nonlinear nonlocal Sobolev-Bregman integral forms with unimodal Lévy measures. We prove that the corresponding Poisson integral defin…

math.AP2017

Extension and trace for nonlocal operators

Krzysztof Bogdan, Tomasz Grzywny, Katarzyna Pietruska-Pałuba +1

We prove an optimal extension and trace theorem for Sobolev spaces of nonlocal operators. The extension is given by a suitable Poisson integral and solves the corresponding nonloca…

math.AP2009★ 5 cited

On a variant of Hardy inequality between weighted Orlicz spaces

Agnieszka Kalamajska, Katarzyna Pietruska-Paluba

Let M be an N-function satisfying the - condition, let $ω, \vp$ be two other functions, . We study Hardy-type inequalities \[ \int_{\rp} M(ω(x)|u(x)|) {\rm exp}(-\vp (…