An extended Sobolev scale over vector bundles

• Date: 2017
• Author Affiliations: Т. М. Зінченко — Національний університет "Чернігівський колегіум" імені Т. Г. Шевченка
• Keywords: keywords
• 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
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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...