Mappings of homogeneous groups and imbeddings of functional spaces
type: Item
instance of: scholarly article
title: Mappings of homogeneous groups and imbeddings of functional spaces
zbMATH Open document ID: 0731.46019
DOI: 10.1007/BF00971258
published in: Siberian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The author investigates the metric and analytic properties of a mapping \(\phi\) defined by an isomorphism \(\phi^*: F\to F'\), \(\phi^*(f)=f\circ \phi\), \(f\in F\) where F and \(F'\) are functional spaces on homogeneous groups. The Sobolev spaces and the Nikolskii spaces are considered as the model examples of F and \(F'\).
reviewed by: V.V.Kovrizhkin
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 43A70
zbMATH DE Number: 4208832
zbMATH Keywords: functional spaces on homogeneous groups
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: Nikolskii spaces
author: S. K. Vodop'yanov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00971258
OpenAlex ID: W2317142208
description: scientific article; zbMATH DE number 4208832