Lq-theory of a singular "winding'' integral operator arising from fluid dynamics

作者: Reinhard Farwig , Toshiaki Hishida , Detlef Müller

DOI: 10.2140/PJM.2004.215.297

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摘要: We analyze in classical L q (R n )-spaces, = 2 or 3, 1 < oo, a singular integral operator arising from the linearization of hydrodynamical problem with rotating obstacle. The corresponding system partial differential equations second order involves an angular derivative which is not subordinate to Laplacian. main tools are Littlewood-Paley theory and decomposition kernel Fourier space.