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Carleson measures for weighted harmonic mixed norm spaces on bounded domains in n

Ivana Savković — 2022

Czechoslovak Mathematical Journal

We study weighted mixed norm spaces of harmonic functions defined on smoothly bounded domains in 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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