Averages Over Convex Hypersurfaces

Alexander Nagel, Andreas Seeger, Stephen Wainger

Type: Article

Publication Date: 1993-08-01

Citations: 44

DOI: https://doi.org/10.2307/2375017

Similar Works

Action	Title	Year	Authors
+	Averages over hypersurfaces: II	1986	Christopher D. Sogge Elias M. Stein
+	Averages over homogeneous hypersurfaces in	1996	Alex losevich
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain
+	Averages of functions over hypersurfaces in ? n	1985	Christopher D. Sogge Elias M. Stein
+ PDF Chat	Averages over a pair of convex surfaces.	1968	Sherman K. Stein
+ PDF Chat	Convex hypersurfaces.	1972	C.-S. Chen
+	On averaging operators associated with convex hypersurfaces of finite type	1999	Alex Iosevich Eric T. Sawyer Andreas Seeger
+	Averages over hypersurfaces smoothness of generalized Radon transforms	1990	Christopher D. Sogge E. M. Stein
+ PDF Chat	𝐽-convex functions and hypersurfaces	2012	Kai Cieliebak Yakov Eliashberg
+ PDF Chat	Convex measures on locally convex spaces	1974	Christer Borell
+	Arcwise-convex functions on surfaces	2022	T. Rapcsák
+	On convex hypersurfaces in Euclidean space	1987	Christos Baikoussis Th. Koufogiorgos
+	Schur-Convexity of Averages of Convex Functions	2011	Franji Iva Pe ari Josip Roqia Ghulam uljak Vera
+	Pseudo-convex hypersurfaces	1973	F. J. Flaherty
+	Hypersurfaces	2022	Ton Marar
+	Hypersurfaces	1990	Shreeram S. Abhyankar
+	Hypersurfaces	2001
+	Hypersurfaces	2006
+	Hypersurfaces	2007	Peter Petersen
+	Hypersurfaces	2021

Action	Title	Year	Authors
+	Maximal functions associated with nonisotropic dilations of hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2018	Wenjuan Li
+ PDF Chat	Estimates for maximal functions associated to hypersurfaces in $\mathbb {R}^3$ with height $h<2$: Part I	2018	Stefan Buschenhenke Spyridon Dendrinos Isroil A. Ikromov Detlef Müller
+ PDF Chat	L<sup>p</sup>-SOBOLEV REGULARITY FOR INTEGRAL OPERATORS OVER CERTAIN HYPERSURFACES	2014	Yaryong Heo Sunggeum Hong Chan Woo Yang
+	Estimates for maximal functions associated to hypersurfaces in $\Bbb R^3$ with height $h<2:$ Part I	2017	Stefan Buschenhenke Spyridon Dendrinos Isroil A. Ikromov Detlef Müller
+ PDF Chat	The dimension-free estimate for the truncated maximal operator	2022	Xudong Nie Panwang Wang
+	Maximal Averages over Surfaces	1997	Alex Iosevich Eric T. Sawyer
+	Maximal Functions over Hypersurfaces with Flat Points	2001	Kyung Soo Rim
+	Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms	2020	Michael Greenblatt
+	Maximal averages over hypersurfaces and the Newton polyhedron	2011	Michael Greenblatt
+ PDF Chat	Fourier transforms of irregular mixed homogeneous hypersurface measures	2018	Michael Greenblatt

Action	Title	Year	Authors
+	Radial Fourier Multipliers and Associated Maximal Functions	1985	Anthony Carbery
+	Averages of functions over hypersurfaces in ? n	1985	Christopher D. Sogge Elias M. Stein
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain
+ PDF Chat	On maximal functions generated by Fourier multipliers	1985	H. Dappa Walter Trebels
+	Maximal functions: Spherical means	1976	Elias M. Stein
+ PDF Chat	On the asymptotic behavior of the Fourier transform of the indicator function of a convex set	1969	Burton Randol
+ PDF Chat	Estimates for the Fourier transform of the characteristic function of a convex set	1971	Ingvar L Svensson
+ PDF Chat	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger
+	Maximal functions and Fourier transforms	1986	Josè L. Rubio de Francia
+ PDF Chat	Oscillatory integrals and Fourier transforms of surface carried measures	1987	Michael Cowling Giancarlo Mauceri