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MAPPING PROPERTIES OF PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH BOUNDED GEOMETRY
Published online by Cambridge University Press: 01 June 1998
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.
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- The London Mathematical Society 1998
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