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Keywords:
harmonic function; mixed norm space; Carleson measure
harmonic function; mixed norm space; Carleson measure
Summary:
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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