Estimates of Oseen kernels in weighted Lp spaces

Stanislav KRAČMAR; Antonín NOVOTNÝ; Milan POKORNÝ

doi:10.2969/jmsj/05310059

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Home > Journals > J. Math. Soc. Japan > Volume 53 > Issue 1 > Article

January, 2001 Estimates of Oseen kernels in weighted

L^{p}

spaces

Stanislav KRAČMAR, Antonín NOVOTNÝ, Milan POKORNÝ

J. Math. Soc. Japan 53(1): 59-111 (January, 2001). DOI: 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 $p\in(1;\infty$ ] for anisotropic weights.

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Stanislav KRAČMAR. Antonín NOVOTNÝ. Milan POKORNÝ. "Estimates of Oseen kernels in weighted $L^{p}$ spaces." J. Math. Soc. Japan 53 (1) 59 - 111, January, 2001. https://doi.org/10.2969/jmsj/05310059