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Weighted function spaces with anisotropic weight distribution

✍ Scribed by S. Nazarov; K. Pileckas


Publisher
Springer
Year
1986
Tongue
English
Weight
737 KB
Volume
26
Category
Article
ISSN
0363-1672

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πŸ“œ SIMILAR VOLUMES


Spaces of Distributions with Weights. Mu
✍ Hans Triebel πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 841 KB

In [19] we described a method for the construction of spaces of distributions of BESOY type (and similar type) with weights, including spaces having negative order of differentiation. The main idea was the decomposition of the Euclidean wspace R, with the aid of special systems of smooth functions.

Function Spaces with Exponential Weights
✍ Thomas Schott πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 669 KB

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 πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 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

On General Function Spaces with and with
✍ Wolfgang Fechner πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 980 KB

This note deals with the general function r;paces G",,,,,,,(Q) over arhitrarv domains l2 of the EucLrnean n-space R,, which are normed by Here p, v, r are real numbers, 1 5 r < a. The function system (yj ); =, depends only on the domain 0. If GI =B;J&) (or Hi( R,J) for s z 0 and G,=L,(R,) then we ha