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Function Spaces with Exponential Weights I

✍ Scribed by Thomas Schott

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 798 KB
Volume: 189
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19981890115

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✦ Synopsis

In this paper we define weighted function spaces of type B;g(u) and F;g(u) on the Euclidean space Rn, where u is a weight function of at most exponential growth. In particular, u(z) = exp(flz1) is an admissible weight. We prove some basic properties of these spaces, such as completeness and density of the smooth functions. 1991 Mathematics Subject Classification. Primary 46335, Secondary 46305. Keywords and phrases. Weighted function spaces, exponential weights, distributions.

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