An extended Sobolev scale over vector bundles

We introduce an extended Sobolev scale over vector bundles on smooth closed manifolds and investigate its interpolation properties. This scale is built on the base of the inner product H\"ormander spaces whose order of regularity is given by an arbitrary positive function RO-varying at infi...

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Bibliographic Details
Date:2017
Main Authors: Zinchenko, T. M., Зінченко, Т. М.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/315
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine