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A PARAMETER-DEPENDENT SYMBOLIC CALCULUS FOR PSEUDO-DIFFERENTIAL OPERATORS WITH NEGATIVE-DEFINITE SYMBOLS

Published online by Cambridge University Press:  03 December 2004

N. JACOB  and
A. G. TOKAREV
N. JACOB
Affiliation:
Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdomn.jacob@swansea.ac.uk, a.tokarev@swansea.ac.uk
A. G. TOKAREV
Affiliation:
Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdomn.jacob@swansea.ac.uk, a.tokarev@swansea.ac.uk
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Abstract

Hoh's calculus for pseudo-differential operators with negative-definite symbols is extended to the case of parameter-dependent symbols. Then this parameter-dependent calculus is applied to the study of subordinate sub-Markovian semigroups.

Keywords

47G30 (primary)35S99 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 780 - 796
Copyright
The London Mathematical Society 2004

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