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Spaces of weighted symbols and weighted sobolev spaces on manifolds

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Book cover Pseudo-Differential Operators

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1256))

Abstract

This paper gives an approach to pseudodifferential operators on noncompact manifolds using a suitable class of weighted symbols and Sobolev spaces introduced by H.O. Cordes on ℙ. Here, these spaces are shown to be invariant under certain changes of coordinates. It is therefore possible to transfer them to manifolds with a compatible structure.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Johannes Gutenberg-Universität, Saarstr. 21, D-6500, Mainz

    Elmar Schrohe

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  1. Elmar Schrohe
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Heinz O. Cordes Bernhard Gramsch Harold Widom

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© 1987 Springer-Verlag

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Schrohe, E. (1987). Spaces of weighted symbols and weighted sobolev spaces on manifolds. In: Cordes, H.O., Gramsch, B., Widom, H. (eds) Pseudo-Differential Operators. Lecture Notes in Mathematics, vol 1256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077751

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  • DOI: https://doi.org/10.1007/BFb0077751

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17856-9

  • Online ISBN: 978-3-540-47886-7

  • eBook Packages: Springer Book Archive

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