Polynomial density in Bers spaces

Author:
Jacob Burbea

Journal:
Proc. Amer. Math. Soc. **62** (1977), 89-94

MSC:
Primary 30A98

MathSciNet review:
0425139

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Abstract | References | Similar Articles | Additional Information

Abstract: Let *D* be a bounded Jordan domain such that for . Here is the Poincaré metric for *D*. Define , the Bers space, to be the Fréchet space of holomorphic functions *f* on *D*, such that is finite, . It is well known that the polynomials are dense in for . We show that they are dense in for irrespective whether the boundary of *D* is rectifiable or not.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1977-0425139-3

Keywords:
Bers spaces,
Poincaré metric,
polynomial density

Article copyright:
© Copyright 1977
American Mathematical Society