Abstract
ABSTRACTWe study harmonic Besov spaces on the unit ball of , where 0<p<1 and . 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 is weighted Bloch space under certain volume integral pairing for 0<p<1 and . Our other results are about growth at the boundary and atomic decomposition.
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