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

We study harmonic Besov spaces b p α on the unit ball of R n , where 0 < p < 1 and α ∈ R. We provide characterizations in terms of partial and radial derivatives and certain radial differential operators that are more compatible with reproducing kernels of harmonic Bergman-Besov spaces. We show that the dual of harmonic Besov space b p α is weighted Bloch space b ∞ β under certain volume integral pairing for 0 < p < 1 and α, β ∈ R. Our other results are about growth at the boundary and atomic decomposition.

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

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

Cited by 4 publications

References 27 publications

Positive Toeplitz operators from a harmonic Bergman–Besov space into another

Positive Toeplitz operators from a harmonic Bergman–Besov space into another

Kelvin-Möbius-invariant harmonic function spaces on the real unit ball

Harmonic Besov spaces with small exponents

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