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Hyperbolic equations, function spaces with exponential weights and Nemytskij operators

✍ Scribed by Gérard Bourdaud; Michael Reissig; Winfried Sickel


Publisher
Springer
Year
2003
Tongue
English
Weight
451 KB
Volume
182
Category
Article
ISSN
0373-3114

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Function Spaces with Exponential Weights
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This paper is a continuation of [a]. We study weighted function speces of type B;,(u) and F;,(U) on the Euclidean space Pi", where u is a weight function of at most exponential growth. In particular, u(z) = exp(i1zl) is an admissible weight. We deal with atomic decompoeitions of these spaces. Furthe

Function Spaces with Exponential Weights
✍ Thomas Schott 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 798 KB

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