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Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball

Ömer Faruk DoğanAdem Ersin Üreyen — 2019

Czechoslovak Mathematical Journal

We consider harmonic Bergman-Besov spaces b α p and weighted Bloch spaces b α on the unit ball of n for the full ranges of parameters 0 < p < , α , 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 α > 0 .

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