Endpoint estimates for the circular maximal function

Sanghyuk Lee

Type: Article

Publication Date: 2002-09-19

Citations: 56

DOI: https://doi.org/10.1090/s0002-9939-02-06781-3

View Publication

Locations

Proceedings of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Maximal operators associated to radial functions in 𝐿²(𝑅²)	1980	Néstor E. Aguilera
+	Multilinear spherical maximal function	2020	Georgios Dosidis
+ PDF Chat	On generalized maximal functions	1993	Bernd S. W. Schröder
+ PDF Chat	𝐿²-boundedness of spherical maximal operators with multidimensional parameter sets	1989	Young-Hwa Ha
+ PDF Chat	A note on a maximal function of C. Fefferman and Stein	1983	Sagun Chanillo Richard L. Wheeden
+ PDF Chat	On a problem of Berman concerning radial limits	1985	J. S. Hwang Peter Lappan
+	An extremal function for the Chang-Marshall inequality over the Beurling functions	2005	Valentin V. Andreev
+ PDF Chat	Closed expressions for ∫¹₀𝑡⁻¹𝑙𝑜𝑔ⁿ⁻¹𝑡log^{𝑝}(1-𝑡)𝑑𝑡	1982	K. S. Kölbig
+ PDF Chat	A note on the spherical maximal operator for radial functions	1987	Mark Leckband
+ PDF Chat	Strong type endpoint bounds for analytic families of fractional integrals	1993	Loukas Grafakos
+	Exponential sums with multiplicative coefficients	1999	Gennady Bachman
+	Lower estimate for the integral means spectrum for 𝑝=-1	2001	I. R. Kayumov
+	A remark on the maximal operator for radial measures	2011	Adrián Infante
+ PDF Chat	On the univalence of a certain integral	1971	E. P. Merkes Dave Wright
+	A characterization of maximal operators associated with radial fourier multipliers	2016	Jongchon Kim
+ PDF Chat	A maximal function characterization of 𝐻^{𝑝} on the space of homogeneous type	1980	Akihito Uchiyama
+ PDF Chat	The minimum modulus of certain small entire functions	1982	P. C. Fenton
+ PDF Chat	Some integrals relating to the 𝐼ₑ-function	1983	Shigehiko Okui
+ PDF Chat	On the Möbius function	1987	Helmut Maier
+ PDF Chat	The method of envelopes	1978	W. L. Miranker M. van Veldhuizen

Works That Cite This (57)

Action	Title	Year	Authors
+	The optimal trilinear restriction estimate for a class of hypersurfaces with curvature	2016	Ioan Bejenaru
+ PDF Chat	$$\mathbf {L^p\rightarrow L^q}$$ bounds for spherical maximal operators	2020	Theresa C. Anderson Kevin Hughes Joris Roos Andreas Seeger
+	Lacunary Discrete Spherical Maximal Functions	2018	Robert Kesler Michael T. Lacey Darío Mena
+	$\ell^p$-improving for discrete spherical averages.	2018	Kevin Hughes
+	The Almost Optimal Multilinear Restriction Estimate for Hypersurfaces with Curvature: The Case of<i>n-1</i>Hypersurfaces in ℝn	2021	Ioan Bejenaru
+ PDF Chat	Circular average relative to fractal measures	2022	Seheon Ham Hyerim Ko Sanghyuk Lee
+	Lebesgue space estimates for spherical maximal functions on Heisenberg groups	2021	Joris Roos Andreas Seeger Rajula Srivastava
+ PDF Chat	Spherical maximal operators on Heisenberg groups: Restricted dilation sets	2023	Joris Roos Andreas Seeger Rajula Srivastava
+ PDF Chat	Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups	2021	Joris Roos Andreas Seeger Rajula Srivastava
+ PDF Chat	A Fourier restriction theorem for a two-dimensional surface of finite type	2017	Stefan Buschenhenke Detlef Müller Ana Vargas

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	A generalization of Bourgain’s circular maximal theorem	1997	Wilhelm Schlag
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+	A bilinear approach to cone multipliers I. Restriction estimates	2000	Terence Tao Ana Vargas
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain
+	Classes of singular integral operators along variable lines	1999	Anthony Carbery Andreas Seeger Stephen Wainger James Wright
+ PDF Chat	Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates	2001	Terence Tao
+	A bilinear approach to cone multipliers II. Applications	2000	Terence Tao Ana Vargas
+ PDF Chat	A Sharp Bilinear Cone Restriction Estimate	2001	Thomas Wolff
+ PDF Chat	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega
+	On High Dimensional Maximal Functions Associated to Convex Bodies	1986	Jean Bourgain