Sets of sampling and interpolation in Bergman spaces

Schuster, Alexander

doi:10.1090/S0002-9939-97-03899-9

Sets of sampling and interpolation in Bergman spaces
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by Alexander P. Schuster

Proc. Amer. Math. Soc. 125 (1997), 1717-1725

DOI: https://doi.org/10.1090/S0002-9939-97-03899-9

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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.

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