2 citations · 5 across the 5 of their papers we have counts for
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Interpolation and sampling sequences for mixed-norm spaces
Phuc K. Nguyen, Daniel H. Luecking
This paper extends the known characterization of interpolation and sampling sequences for Bergman spaces to the mixed-norm spaces. The Bergman spaces have conformal invariance prop…
Interpolation schemes in weighted Bergman spaces
Daniel H. Luecking
We extend our work on nonseparated interpolating sequences, originally developed for Bergman spaces with weights of the form , to more general weights.
Finite unions of interpolating sequences for Hardy spaces
Daniel H. Luecking
A sequence which is a finite union of interpolating sequences for have turned out to be especially important in the study of Bergman spaces. The Blaschke products …
Interpolation without Separation in Bergman Spaces
Daniel H. Luecking
Most characterizations of interpolating sequences for Bergman spaces include the condition that the sequence be uniformly discrete in the hyperbolic metric. We show that if the not…
Interpolating sequences for the Bergman space and the -equation in weighted
Daniel H. Luecking
The author showed that a sequence in the unit disk is a zero sequence for the Bergman space if and only if a certain weighted space $L^p(W}$ contains a nontrivial analytic fu…