Bounded <IMG WIDTH="39" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" SRC="/tran/2008-360-08/S0002-9947-08-04589-3/gif-title0/img1.gif" ALT="$ H_\infty$">-calculus for pseudodifferential operators and applications to the Dirichlet-Neumann operator期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Bounded $H_\infty$ -calculus for pseudodifferential operators and applications to the Dirichlet-Neumann operator

Authors:	J Escher J Seiler

Institution:	Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany ; Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany

Abstract:	Operators of the form with a pseudodifferential symbol $a(x,\xi)$ belonging to the Hörmander class $S^m_{1,\delta}$ , , $0\le\delta<1$ , and certain perturbations are shown to possess a bounded $H_\infty$ -calculus in Besov-Triebel-Lizorkin and certain subspaces of Hölder spaces, provided is suitably elliptic. Applications concern pseudodifferential operators with mildly regular symbols and operators on manifolds of low regularity. An example is the Dirichlet-Neumann operator for a compact domain with $\mathcal{C}^{1+r}$ -boundary.

Keywords:	Bounded $H_\infty $-calculus Dirichlet-Neumann operator pseudodifferential operators

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