Operators of the form A=a(x,D)+K with a pseudodifferential symbol a(x,\xi) belonging to the Hörmander class S^m_{1,\delta}, m>0, 0\le\delta<1, and certain perturbations K are shown to posses a bounded H_\infty-calculus in Besov-Triebel-Lizorkin and certain subspaces of Hölder spaces, provided a 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 C^{1+r}-boundary.

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

SEILER, JOERG
2008-01-01

Abstract

Operators of the form A=a(x,D)+K with a pseudodifferential symbol a(x,\xi) belonging to the Hörmander class S^m_{1,\delta}, m>0, 0\le\delta<1, and certain perturbations K are shown to posses a bounded H_\infty-calculus in Besov-Triebel-Lizorkin and certain subspaces of Hölder spaces, provided a 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 C^{1+r}-boundary.
2008
360
3945
3973
Bounded H_\infty-calculus; Dirichlet-Neumann operator; pseudodifferential operators
J. Escher; J. Seiler
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/90787
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