Besov spaces and Bergman projections on the ball

A class of radial differential operators are investigated yielding a natural classification of diagonal Besov spaces on the unit ball of $\text{C}{}^{\mathrm{N}}$. Precise conditions are given for the boundedness of Bergman projections from certain L^p spaces onto Besov spaces. Right inverses for these projections are also provided. Applications to complex interpolation are presented. To cite this article: H.T. Kaptano?lu, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 729–732.