Interpolation on non-uniformly separated sequences in a weighted Bergman space

Document Type : Original Article

Authors

1 San Francisco State University, San Francisco, CA 94132, United States

2 University of California at Davis, Davis, CA 95616, United States

http://dx.doi.org/10.1016/j.joems.2013.01.004

Abstract

We consider a definition of interpolation, called O-interpolation, that includes the possibility
of sequences that are not uniformly separated. We prove that the density condition used to
describe classical interpolation sequences is actually sufficient to give O-interpolation.

Keywords