11 citations · 28 across the 16 of their papers we have counts for
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math.FA2012
Poincaré Inequality and Hajlasz-Sobolev spaces on nested fractals
Katarzyna Pietruska-Pałuba, Andrzej Stos
Given a nondegenerate harmonic structure, we prove a Poincaré-type inequality for functions in the domain of the Dirichlet form on nested fractals. We then study the Hajlasz-Sobole…
math.FA2009★ 5 cited
On a variant of Gagliardo-Nirenberg inequality deduced from Hardy
Agnieszka Kalamajska, Katarzyna Pietruska-Paluba
We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider ne…