Sobolev estimates for averaging operators over a convex hypersurface in R3

Sunggeum Hong; Ya-Ryong Heo; Chan Woo Yang

doi:10.1016/j.jmaa.2013.08.069

Sobolev estimates for averaging operators over a convex hypersurface in R³

Sunggeum Hong, Ya-Ryong Heo, Chan Woo Yang

Department of Mathematics

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

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

Original language	English
Pages (from-to)	244-268
Number of pages	25
Journal	Journal of Mathematical Analysis and Applications
Volume	412
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.08.069
Publication status	Published - 2014 Apr 1

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Keywords

Lp→Lαp estimates
Sobolev regularity

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

Hong, S., Heo, Y-R., & Yang, C. W. (2014). Sobolev estimates for averaging operators over a convex hypersurface in R³ Journal of Mathematical Analysis and Applications, 412(1), 244-268. https://doi.org/10.1016/j.jmaa.2013.08.069

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

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Access to Document

10.1016/j.jmaa.2013.08.069