Slice Hyperholomorphic Bergman Spaces
摘要
Bergman spaces have been studied in the hypercomplex case, in the context of monogenic functions with values in a Clifford algebra, in particular quaternions. Here we consider Bergman spaces in the slice hyperholomorphic setting. They can be defined in two different ways: one global, one via the complex slices, thus giving the so-called Bergman spaces of the first and of the second kind, respectively.