A note on the one-dimensional maximal function

Antonio Bernal

Type: Article

Publication Date: 1989-01-01

Citations: 19

DOI: https://doi.org/10.1017/s030821050001859x

View Publication

Locations

Proceedings of the Royal Society of Edinburgh Section A Mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The Hardy-Littlewood maximal function	2000	Javier Duoandikoetxea
+	A property of the Hardy-Littlewood maximal function	1984	K. Adomaitis
+	The hardy-littlewood maximal function of a sobolev function	1997	Juha Kinnunen
+	On estimates of constants for maximal functions	2014	А. С. Яковлев
+	A Remark on the Maximal Function for Measures in R n	1983	Peter Sjögren
+	The Hardy–Littlewood maximal function	2014	Omar El-Fallah Karim Kellay Javad Mashreghi Thomas Ransford
+	On Kolmogorov's theorem, the Hardy-Littlewood maximal function and the radial maximal function	1988	Joaquim Bruna Boris Korenblum
+ PDF Chat	A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function	2002	Hitoshi Tanaka
+	1. Hardy-Littlewood maximal function	2002	Juan Arias de Reyna
+ PDF Chat	Hardy-Littlewood Maximal Functions	2019
+ PDF Chat	A Note on the Strong Maximal Function	1983	Richard J. Bagby
+ PDF Chat	Continuity of the maximal operator in Sobolev spaces	2006	Hannes Luiro
+ PDF Chat	Weak type estimates for the Hardy-Littlewood maximal functions	1974	Luis Caffarelli Calixto P. Calderón
+ PDF Chat	A sharp estimate for the Hardy-Littlewood maximal function	1999	Loukas Grafakos Stephen Montgomery-Smith Olexei I. Motrunich
+ PDF Chat	Lower bounds for the weak type (1, 1) estimate for the maximal function associated to cubes in high dimensions	2013	А. С. Яковлев Jan-Olov Strömberg
+ PDF Chat	A NOTE ON THE ENDPOINT REGULARITY OF THE HARDY–LITTLEWOOD MAXIMAL FUNCTIONS	2015	Feng Liu Ting Chen Huoxiong Wu
+ PDF Chat	On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective	2021	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective	2018	Jean Bourgain Mariusz Mirek Elias M. Stein Błażej Wróbel
+	Hardy–Littlewood Maximal Function	2025
+	ON A WEIGHTED NORM INEQUALITY FOR THE HARDY-LITTLEWOOD MAXIMAL FUNCTION IN L(log^+ L)^λ + L(log^- L)^	1996	Miyamoto Takashi.

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	The Norm of the Fourier Transform on Compact or Discrete Abelian Groups	2020	Mokshay Madiman Peng Xu
+ PDF Chat	Weighted inequalities for maximal functions associated with general measures	1991	Kenneth F. Andersen
+ PDF Chat	Norm inequalities for some one-sided operators	2013	Dah-Chin Luor
+	The exact dependence on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>w</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi…	2012	Luigi D’Onofrio Roberta Schiattarella
+ PDF Chat	On the centered Hardy-Littlewood maximal operator	2002	Antonios D. Melas
+	The best constant for centered Hardy-Littlewood maximal inequality	2003	Antonios D. Melas
+	Sharp inequalities for maximal functions associated with general measures	1998	Loukas Grafakos Juha Kinnunen
+ PDF Chat	Weighted Inequalities for Maximal Functions Associated with General Measures	1991	Kenneth F. Andersen
+	Maximal Function Methods for Sobolev Spaces	2021	Juha Kinnunen Juha Lehrbäck Antti V. Vähäkangas
+ PDF Chat	On a covering problem related to the centered Hardy-Littlewood maximal inequality	2003	Antonios D. Melas

Works Cited by This (3)

Action	Title	Year	Authors
+	A Remark on the Maximal Function for Measures in R n	1983	Peter Sjögren
+ PDF Chat	Differentiation of Integrals in Rn	1975	Miguel de Guzmán
+	Differentiation of integrals in Rn	1976	Miguel de Guzmán