$L^{p}$ boundedness of maximal averages over hypersurfaces in $\mathbb {R}^{3}$
From MaRDI portal
Publication:2839383
DOI10.1090/S0002-9947-2012-05697-2zbMath1277.42016arXiv1008.3931OpenAlexW2592711125MaRDI QIDQ2839383
Publication date: 5 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.3931
Related Items (6)
On boundedness of maximal operators associated with hypersurfaces ⋮ Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms ⋮ Estimates of oscillatory integrals with a damping factor ⋮ Estimates for maximal functions associated to hypersurfaces in $\mathbb {R}^3$ with height $h<2$: Part I ⋮ Maximal averages over hypersurfaces and the Newton polyhedron ⋮ On the boundedness problem of maximal operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Averages of functions over hypersurfaces in \(\mathbb R^n\)
- Averages in the plane over convex curves and maximal operators
- Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis
- Maximal averages over hypersurfaces and the Newton polyhedron
- Maximal averages over surfaces
- The Newton polyhedron and oscillatory integral operators
- Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces
- Oscillatory integrals and maximal averages over homogeneous surfaces
- On adapted coordinate systems
- Inequalities for Some Maximal Functions. II
- Maximal functions: Spherical means
- Averages Over Convex Hypersurfaces
This page was built for publication: $L^{p}$ boundedness of maximal averages over hypersurfaces in $\mathbb {R}^{3}$
