Sobolev estimates for averaging operators over a convex hypersurface in \(\mathbb R^3\)

DOI10.1016/j.jmaa.2013.08.069zbMath1308.42004OpenAlexW2038667809MaRDI QIDQ2019096

Sunggeum Hong, Chan Woo Yang, Ya Ryong Heo

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.08.069

zbMATH Keywords

Sobolev regularity\(L^p\to L_\alpha^p\) estimates

Mathematics Subject Classification ID

Summability in several variables (42B08)

Related Items (1)

Corrigendum to ``Sobolev estimates for averaging operators over a convex hypersurface in \(\mathbb R^3\)

Cites Work

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• Averages of functions over hypersurfaces in \(\mathbb R^n\)
• Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis
• The Newton polyhedron and oscillatory integral operators
• L p regularity of averages over curves and bounds for associated maximal operators
• Some Inequalities for Singular Convolution Operators in L p -Spaces
• Averages Over Convex Hypersurfaces
• On averaging operators associated with convex hypersurfaces of finite type

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