Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients
type: Item
instance of: scholarly article
title: Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients
zbMATH Open document ID: 1266.42038
author: Na Wei
author: Sufang Tang
author: Maochun Zhu
author: Pengcheng Niu
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2013-01-30T00:00:00Z
review text: The purpose of this paper is to investigate the local regularity of the nondivergence degenerate elliptic operator with lower order terms in generalized Morrey spaces, structured on a family of Hörmander vector fields without an underlying group structure. The coefficients of the second order terms of the operator are real valued, bounded and measurable functions, such that the uniform ellipticity condition holds; moreover, they belong to the space VMO (vanishing mean oscillation), with respect to the subelliptic metric induced by the vector fields. The coefficients of the lower order terms of the operator are in suitable generalized Morrey spaces.
reviewed by: Giuseppe Di Fazio
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 6132850
zbMATH Keywords: Hörmander condition
zbMATH Keywords: Morrey space
zbMATH Keywords: nondivergence operator
zbMATH Keywords: regularity
MaRDI profile type: Publication
full work available at URL: s13398-011-0047-1
OpenAlex ID: W1970199453
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DOI: 10.1007/S13398-011-0047-1
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description: scientific article; zbMATH DE number 6132850