✦ LIBER ✦

Function Spaces with Exponential Weights II

✍ Scribed by Thomas Schott

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 669 KB
Volume: 196
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19981960110

No coin nor oath required. For personal study only.

✦ Synopsis

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. Furthermore, we prove that the spaces B&(u) and F&(u) are hmorphic to the corresponding unweighted spaces B& and FA.

📜 SIMILAR VOLUMES

Function Spaces with Exponential Weights

Function Spaces with Exponential Weights I

✍ 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

Anisotropic Spaces. II. (Equivalent Norm

Anisotropic Spaces. II. (Equivalent Norms for Abstract Spaces, Function Spaces with Weights of SOBOLEV-BESOV type)

✍ Hans-Jürgen Schmeisser 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 714 KB

Anisotropic Spaces. 11. (Equivalent Norms for Abstract Spaces, Function Spaces with Weights of SOBOLEV-BESOV type) By HANS-JURGEN SCHMEISSER (Jena) (Eingegangen am 30.5. 1975) This paper is the continuation of [7].

On General Function Spaces with and with

On General Function Spaces with and without Weights

✍ Wolfgang Fechner 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 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

Inequalities with exponential weights

✍ H.S. Jung; R. Sakai 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 205 KB

Let R = (-∞, ∞) and let Q ∈ C 2 : R → R + = [0, ∞) be an even function. Then in this paper we consider the infinite-finite range inequality, an estimate for the Christoffel function, and the Markov-Bernstein inequality with the exponential weights w (x)= |x| e -Q(x) , x ∈ R.

Littlewood–Paley Theory and Function Spa

Littlewood–Paley Theory and Function Spaces with Alocp Weights

✍ Vyacheslav S. Rychkov 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 401 KB

Spaces of Distributions with Weights. Mu

Spaces of Distributions with Weights. Multipliers in Lp-spaces with Weights

✍ Hans Triebel 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 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.