Sobolev estimates for averaging operators over a convex hypersurface in R3

Sunggeum Hong, Ya-Ryong Heo, Chan Woo Yang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove sharp Lp-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in R3.

Original languageEnglish
Pages (from-to)244-268
Number of pages25
JournalJournal of Mathematical Analysis and Applications
Volume412
Issue number1
DOIs
Publication statusPublished - 2014 Apr 1

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Keywords

  • Lp→Lαp estimates
  • Sobolev regularity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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