Estimates of Oseen kernels in weighted Lp spaces

Stanislav KRACMAR; Antonín NOVOTNÝ; Milan POKORNÝ

doi:10.2969/jmsj/05310059

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Estimates of Oseen kernels in weighted L^p spaces

Stanislav KRACMAR, Antonín NOVOTNÝ, Milan POKORNÝ

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Keywords: Oseen fundamental solution, anisotropically weighted L^p spaces, singular integrals

JOURNAL FREE ACCESS

2001 Volume 53 Issue 1 Pages 59-111

DOI https://doi.org/10.2969/jmsj/05310059

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Abstract

We study convolutions with Oseen kernels (weakly singular and singular) in both two-and three-dimensional space. We give a detailed weighted L^p theory for p∈(1, ∞] for anisotropic weights.

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