Czechoslovak Mathematical Journal, Vol. 72, No. 4, pp. 1205-1216, 2022
Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb{R}^n$
Ivana Savković
Received January 14, 2022. Published online July 29, 2022.
Abstract: We study weighted mixed norm spaces of harmonic functions defined on smoothly bounded domains in $\mathbb{R}^n$. Our principal result is a characterization of Carleson measures for these spaces. First, we obtain an equivalence of norms on these spaces. Then we give a necessary and sufficient condition for the embedding of the weighted harmonic mixed norm space into the corresponding mixed norm space.
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Affiliations: Ivana Savković, Faculty of Mechanical Engineering, University of Banja Luka, Bulevar vojvode Stepe Stepanovića 71, Banja Luka, Bosnia and Herzegovina, e-mail: ivana.savkovic@mf.unibl.org
