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Spaces of weighted symbols and weighted sobolev spaces on manifolds

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Pseudodifferential Operator
  • Fredholm Operator
  • Weight SOBOLEV Space
  • Linear Partial Differential Operator
  • Symbolic Calculus

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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  • Print ISBN: 978-3-540-17856-9

  • Online ISBN: 978-3-540-47886-7

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