Semi-norms of the Bergman projection

It is known that the Bergman projection operator maps the space of essentially bounded functions in the unit ball in the d-dimensional complex vector space onto the Bloch space of the unit ball. This paper deals with the various semi-norms of the Bergman projection. We improve some recent results.Comment: to appear in Computational Methods and Function Theor

Bicomplex Bergman spaces on bounded domains

The bicomplex Bergman spaces are studied for any bounded bicomplex domain. Its Bergman kernel is computed in terms of the kernels of the complex projections of the domain. We also introduce two additional reproducing kernel Hilbert spaces and relate its kernels to that of the bicomplex Bergman space