Premium
Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
Author(s) -
Haroske Dorothee,
Triebel Hans
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941670107
Subject(s) - mathematics , degenerate energy levels , pseudodifferential operators , eigenvalues and eigenvectors , weight function , pure mathematics , polynomial , type (biology) , entropy (arrow of time) , function space , function (biology) , mathematical analysis , quantum mechanics , ecology , physics , biology , evolutionary biology
In this paper we study weighted function spaces of type B s p,q (ℝ n , Q ( x )) and F s p,q (ℝ n , Q ( x )), where Q(x) is a weight function of at most polynomial growth. Of special interest are the weight functions Q(x) = (1 + |x| 2 ) α/2 with α ϵ ℝ. The main result deals with estimates for the entropy numbers of compact embeddings between spaces of this type.