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Sets of sampling and interpolation in Bergman spaces
Authors:Alexander P. Schuster
Affiliation:Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Abstract:Properties of the unions of sampling and interpolation sets for Bergman spaces are discussed in conjunction with the examples given by Seip (1993). Their relationship to the classical interpolation sequences is explored. In addition, the role played by canonical divisors in the study of these sets is examined and an example of a sampling set is constructed in the disk.

Keywords:Bergman space   sampling   interpolation   zero set   canonical divisor
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