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math.FA2022
Asymptotics, trace, and density results for weighted Dirichlet spaces defined on the halfline
Claudia Capone, Agnieszka Kałamajska
We give analytic description for the completion of in Dirichlet space $D^{1,p}(\mathbf{R}_+, ω):= \{ u:\mathbf{R}_+\rightarrow \mathbf{R}: u\ \hbox{ is…
math.FA2020
Poincaré inequalities and compact embeddings from Sobolev type spaces into weighted spaces on metric spaces
Jana Björn, Agnieszka Kałamajska
We study compactness and boundedness of embeddings from Sobolev type spaces on metric spaces into spaces with respect to another measure. The considered Sobolev spaces can be…
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…