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The compactness of a weakly singular integral operator on weighted Sobolev spaces

Citation

Elliott, D, The compactness of a weakly singular integral operator on weighted Sobolev spaces, Journal of Integral Equations and Applications, 26, (4) pp. 483-496. ISSN 0897-3962 (2014) [Refereed Article]

Copyright Statement

Copyright 2014 Rocky Mountain Mathematics Consortium

DOI: doi:10.1216/JIE-2014-26-4-483

Abstract

It is shown that the weakly singular integral operator ∫ 1-1(Φ(τ)/|τ - t|γ) , where 0 < γ < 1, maps the weighted Sobolev space W (n)p;α,β (Ω) compactly into itself from 1 < p < ∞, 0 < α + 1/q, β + 1/q < 1 and n ∈ ℕ0.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Operator Algebras and Functional Analysis
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Elliott, D (Professor David Elliott)
ID Code:97735
Year Published:2014
Deposited By:Mathematics and Physics
Deposited On:2015-01-12
Last Modified:2015-04-27
Downloads:0

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