Regularity estimates for the oblique derivative problem on non-smooth domains. II
type: Item
instance of: scholarly article
title: Regularity estimates for the oblique derivative problem on non-smooth domains. II
zbMATH Open document ID: 0853.35141
author: Pengfei Guan
author: Eric T. Sawyer
published in: Chinese Annals of Mathematics. Series B
publication date: 1997-01-05T00:00:00Z
review text: This paper is a continuation of part I in [ibid. B16, No. 3, 299-324 (1995; Zbl 0841.35018)]. In the present paper, the authors prove Hölder and \(L^p\) boundedness of pseudodifferential operators with limited smoothness appearing in the former paper. They use the technique of symbol splitting and reduce boundedness properties on Sobolev spaces to weighted norms inequalities for the Hardy operator.
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 47G30
zbMATH DE Number: 854876
zbMATH Keywords: boundedness
zbMATH Keywords: limited smoothness
zbMATH Keywords: symbol splitting
reviewed by: Paul Godin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 854876