The geometry of the dyadic maximal operator

Eleftherios N. Nikolidakis

Type: Article

Publication Date: 2014-12-15

Citations: 9

DOI: https://doi.org/10.4171/rmi/819

Abstract

We prove a sharp integral inequality which connects the dyadic maximal operator with the Hardy operator. We also give some applications of this inequality.

Locations

Revista Matemática Iberoamericana - View
arXiv (Cornell University) - View - PDF
The Digital Library project by the National Documentation Center (EKT) (National Documentation Centre (Greece)) - View - PDF

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Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	A sharp integral rearrangement inequality for the dyadic maximal operator and applications	2014	Eleftherios N. Nikolidakis Antonios D. Melas
+ PDF Chat	Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality	2019	Eleftherios N. Nikolidakis
+	Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator	2016	Eleftherios N. Nikolidakis
+ PDF Chat	Sharp Lorentz Estimates for Dyadic-like Maximal Operators and Related Bellman Functions	2017	Antonios D. Melas Eleftherios N. Nikolidakis
+ PDF Chat	The Bellman function of the dyadic maximal operator related to Kolmogorov’s inequality	2017	Eleftherios N. Nikolidakis
+	The dyadic Carleson Imbedding theorem for the dyadic maximal operator and related inequalities	2019	Eleftherios N. Nikolidakis
+	The dyadic Carleson Imbedding theorem in connection with the dyadic maximal operator and related inequalities.	2019	Eleftherios N. Nikolidakis
+	Extremal sequences for the Bellman function of the dyadic maximal operator and applications to the Hardy operator	2013	Eleftherios N. Nikolidakis
+	Extremal sequences for the Bellman function of the dyadic maximal operator	2013	Eleftherios N. Nikolidakis

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+	Classical and modern Fourier analysis	2003	Loukas Grafakos
+ PDF Chat	The Bellman functions and two-weight inequalities for Haar multipliers	1999	Fëdor Nazarov Sergei Treil Alexander Volberg
+ PDF Chat	The sharp constant in the reverse Hölder inequality for Muckenhoupt weights	2003	Vasily Vasyunin
+ PDF Chat	Sharp Weak Type Inequalities for the Dyadic Maximal Operator	2012	Eleftherios N. Nikolidakis
+	On weak type inequalities for dyadic maximal functions	2008	Antonios D. Melas Eleftherios N. Nikolidakis
+	Martingales and Fourier Analysis in Banach Spaces	2011	Burgess Davis Renming Song
+	The Bellman functions of dyadic-like maximal operators and related inequalities	2004	Antonios D. Melas
+ PDF Chat	Monge–Ampère equations and Bellman functions: The dyadic maximal operator	2008	Leonid Slavin Alexander M. Stokolos Vasily Vasyunin
+	Dyadic-like maximal operators on integrable functions and Bellman functions related to Kolmogorov’s inequality	2009	Antonios D. Melas Eleftherios N. Nikolidakis
+	Sharp general local estimates for dyadic-like maximal operators and related Bellman functions	2008	Antonios D. Melas