Interpolation and sampling in small Bergman spaces

Details Interpolation and sampling in small Bergman spaces Interpolation and sampling in small Bergman spaces

2011-06-20

arxiv.org/abs/1106.3847v3

Mathematics

Complex Variables

Scientific paper

Carleson measures and interpolating and sampling sequences for weighted
Bergman spaces on the unit disk are described for weights that are radial and
grow faster than the standard weights $(1-|z|)^{-\alpha}$, $0<\alpha<1$. These
results make the Hardy space $H^2$ appear naturally as a "degenerate" endpoint
case for the class of Bergman spaces under study.

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