Geodesic
Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb {R}^n$
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1205-1216

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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.
DOI : 10.21136/CMJ.2022.0018-22
Classification : 31B05, 42B35
Keywords: harmonic function; mixed norm space; Carleson measure 
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     title = {Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb {R}^n$},
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     pages = {1205--1216},
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Savković, Ivana. Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb {R}^n$. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1205-1216. doi: 10.21136/CMJ.2022.0018-22

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