Artur Rutkowski

activity

20172026

L^{p}

4 citations · 6 across the 7 of their papers we have counts for

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math.FA2022★ 4 cited

The Douglas formula in $L^{p}$

Krzysztof Bogdan, Damian Fafuła, Artur Rutkowski

We prove a Douglas-type identity in $L^{p}$ for $1 < p < \infty$ .

math.FA2021★ 1 cited

Fractional Korn's inequality on subsets of the Euclidean space

Artur Rutkowski

We give a new, simpler proof of the fractional Korn's inequality for subsets of $R^{d}$ . We also show a framework for obtaining Korn's inequality directly from the appropria…

math.FA2018

Reduction of integration domain in Triebel-Lizorkin spaces

Artur Rutkowski

We investigate the comparability of generalized Triebel--Lizorkin and Sobolev seminorms on uniform and non-uniform sets when the integration domain is truncated according to the di…

The Douglas formula in Lp

Fractional Korn's inequality on subsets of the Euclidean space

Reduction of integration domain in Triebel-Lizorkin spaces

The Douglas formula in $L^{p}$