In this paper we obtain a characterization of the Dirichlet D p-spaces of monogenic Clifford algebra valued functions in the unit ball in R m+1 by the coefficients of a homogeneous series expansion.

In this article, we define the bicomplex weighted Bergman spaces on the bidisk and their associated weighted Bergman projections, where the respective Bergman kernels are determined. We study also the bicomplex Bergman projection onto the bicomplex Bloch space.

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