Elliptic operators on refined Sobolev scales on vector bundles

We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We prove that these spaces are obtained by the i...

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Bibliographic Details
Main Author: Zinchenko Tetiana
Format: Article
Language:English
Published: De Gruyter 2017-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0076