Geodesic
Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 503-523.

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We consider harmonic Bergman-Besov spaces $b^p_\alpha $ and weighted Bloch spaces $b^\infty _\alpha $ on the unit ball of $\mathbb {R}^n$ for the full ranges of parameters $0$, $\alpha \in \mathbb {R}$, and determine the precise inclusion relations among them. To verify these relations we use Carleson measures and suitable radial differential operators. For harmonic Bergman spaces various characterizations of Carleson measures are known. For weighted Bloch spaces we provide a characterization when $\alpha >0$.
DOI : 10.21136/CMJ.2018.0422-17
Classification : 31B05, 42B35
Keywords: harmonic Bergman-Besov space; weighted harmonic Bloch space; Carleson measure; Berezin transform 
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Doğan, Ömer Faruk; Üreyen, Adem Ersin. Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 2, pp. 503-523. doi : 10.21136/CMJ.2018.0422-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0422-17/

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