Harmonic Besov Spaces on the Unit Ball in ${\bf R}^n$

Abstract

We define and characterize the harmonic Besov space B p , 1 < p < ∞, on the unit ball B in R n . We prove that the Besov spaces B p , 1 < p < oo, are natural quotient spaces of certain L p spaces. The dual of B p , 1 < p < ∞, can be identified with B q , 1/p+ 1/q = 1, and the dual of the little harmonic Bloch space B 0 is B 1 .