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Estimates of Oseen kernels in weighted \(L^p\) spaces. (English) Zbl 0988.76021
The authors study convolutions with Oseen kernels (weakly singular and singular) in both two- and three-dimensional space. They develop a weighted \(L^p\) theory, \(p\in (1,\infty]\), for anisotropic weights.

MSC:
76D07 Stokes and related (Oseen, etc.) flows
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
35C15 Integral representations of solutions to PDEs
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