Approximation Numbers in Some Weighted Function Spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولOn approximation numbers of Sobolev embeddings of weighted function spaces
We investigate asymptotic behaviour of approximation numbers of Sobolev embeddings between weighted function spaces of Sobolev–Hardy–Besov type with polynomials weights. The exact estimates are proved in almost all cases. © 2005 Elsevier Inc. All rights reserved.
متن کاملApproximation Numbers of Composition Operators on Weighted Hardy Spaces
In this paper we find upper and lower bounds for approximation numbers of compact composition operators on the weighted Hardy spaces Hσ under some conditions on the weight function σ.
متن کاملEntropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodiierential Operators Ii
This paper is the continuation of 17]. We investigate mapping and spectral properties of pseudodiierential operators of type 1;; with 2 IR and 0 1 in the weighted function spaces B s p;q (IR n ; w(x)) and F s p;q (IR n ; w(x)) treated in 17]. Furthermore we study the distribution of eigenvalues and the behaviour of corresponding root spaces for degenerate pseudodiierential operators preferably ...
متن کاملEntropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodiierential Operators I
In this paper we study weighted function spaces of type B s p;q (IR n ; %(x)) and F s p;q (IR n ; %(x)), where %(x) is a weight function of at most polynomial growth. Of special interest are the weight functions %(x) = (1 + jxj 2) =2 with 2 IR. The main result deals with estimates for the entropy numbers of compact embeddings between spaces of this type.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1995
ISSN: 0021-9045
DOI: 10.1006/jath.1995.1111