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The compactness of a weakly singular integral operator on weighted Sobolev spaces
It is shown that the weakly singular integral operator ∫ 1-1(Φ(τ)/|τ - t|γ) dτ, 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.
History
Publication title
Journal of Integral Equations and ApplicationsVolume
26Issue
4Pagination
483-496ISSN
0897-3962Department/School
School of Natural SciencesPublisher
Rocky Mountain Mathematics ConsortiumPlace of publication
United States of AmericaRights statement
Copyright 2014 Rocky Mountain Mathematics ConsortiumRepository Status
- Restricted