Analytic Besov space Bp, 0<p<1

For a measurable function f on the unit ball B in C-n, n greater than or equal to 1, we define M(1)f(z), z is an element of B, to be the mean modulus of f over a hyperbolic ball with center at z and of a fixed radius. The space L-1,L-p(tau), 0 < p < 1, where tau is M-invariant measure on B, is defined by the requirement that M(1)f is an element of L-P(tau). The analytic Besov space B-P, 0 < p < 1, can be naturally embedded as a complemented subspace of L-1,L-p(tau) by a topological embedding V-m,V-s: B-P (out bar right arrow) L-1,L-p(tau). We show that V-m,V-s o P-s, where P-s is an integral operator whose reproducing kernel is gamma(s)(1-\w\(2))(s)(1-[z,w])(-(n+1+s)), is projection on this embedded copy. The embedding is applied to show that for each 0 < p < 1 the dual space of the Besov space B-P is isomorphic to the Bloch space B-infinity (with equivalent norms) under certain integral pairing.