Sobolev estimates for averaging operators over a convex hypersurface in \(\mathbb R^3\). (English) Zbl 1308.42004
J. Math. Anal. Appl. 412, No. 1, 244-268 (2014); corrigendum ibid. 423, No. 2, 1867-1871 (2015).
Summary: We prove sharp \(L^p\)-Sobolev estimates for averaging operators associated with a certain type of convex hypersurface in \(\mathbb R^3\).
MSC:
| 42B08 | Summability in several variables |
References:
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