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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.