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MAPPING PROPERTIES OF PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH BOUNDED GEOMETRY

Published online by Cambridge University Press:  01 June 1998

LESZEK SKRZYPCZAK
Affiliation:
Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48-49, 60-769 Poznań, Poland
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Abstract

We investigate classes of uniform pseudodifferential operators on Riemannian manifolds with bounded geometry. We prove that operators belonging to the classes are bounded in function spaces of Hardy–Sobolev–Besov type defined on the manifold. The classes contain the powers of the Laplace–Beltrami operators so we get the fractional lift property for the function spaces.

Type
Notes and Papers
Copyright
The London Mathematical Society 1998

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