The Best Constants Associated with some Weak Maximal Inequalities in Ergodic Theory

Ciprian Demeter

Type: Article

Publication Date: 2004-06-01

Citations: 3

DOI: https://doi.org/10.4153/cjm-2004-021-x

Abstract

Abstract We introduce a new device of measuring the degree of the failure of convergence in the ergodic theorem along subsequences of integers. Relations with other types of bad behavior in ergodic theory and applications to weighted averages are also discussed.

Locations

Canadian Journal of Mathematics - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Weighted reverse weak type inequalities for the ergodic maximal function and the classes 𝐿𝑙𝑜𝑔⁺𝐿	1985	Kenneth F. Andersen Wo-Sang Young
+	Weighted Reverse Weak Type Inequalities for the Ergodic Maximal Function and the Classes L log + L	1985	Kenneth F. Andersen Wo-Sang Young
+ PDF Chat	Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces	1984	E. Atencia F. J. Martín-Reyes
+	Weak-type inequalities and convergence of the ergodic averages in variable Lebesgue spaces with weights	2009	M. Isabel Aguilar Cañestro Pedro Ortega Salvador
+ PDF Chat	Weighted weak type inequalities for the ergodic maximal function and the pointwise ergodic theorem	1987	A. de la Torre F. J. Martín-Reyes
+ PDF Chat	Weak-Type (1,1) Inequality for Discrete Maximal Functions and Pointwise Ergodic Theorems Along Thin Arithmetic Sets	2024	Leonidas Daskalakis
+	Maximal inequalities and ergodic theorems for Cesàro-α or weighted averages	1991	Michel Broise Y. Déniel Yves Derriennic
+ PDF Chat	Powers of sequences and convergence of ergodic averages	2009	Nikos Frantzikinakis Marianne Johnson Emmanuel Lesigne Μáté Wierdl
+	Several weak-type weighted inequalities in orlicz martingale classes	2011	Wei Chen Пэйдэ Лю
+	Weak-type (1,1) inequality for discrete maximal functions and pointwise ergodic theorems along thin arithmetic sets	2023	Leonidas Daskalakis
+	Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation	1992	Wiesław Kurc
+	Best monotone approximation and the Hardy-Littlewood maximal function	1989	J. J. Swetits Stanley E. Weinstein
+	A weak type (1,1) inequality for maximal averages over certain sparse sequences	2011	Michael Christ
+	Integer sequences with big gaps and the pointwise ergodic theorem	1999	R. W. L. Jones Michael T. Lacey Μáté Wierdl
+	Inequalities for the Ergodic Maximal Function and Convergence of the Averages in Weighted L p -Spaces	1986	F. J. Martín-Reyes
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain
+	Integer and Fractional Parts of Good Averaging Sequences in Ergodic Theory	1996	Michael Boshernitzan R. W. L. Jones Μáté Wierdl
+ PDF Chat	Weak bounds for the maximal function in weighted Orlicz spaces	1990	Richard J. Bagby
+	Best constants in the weak type inequalities for a martingale conditional square function	2012	Adam Osȩkowski
+ PDF Chat	Slow Convergences of Ergodic Averages	2023	V. V. Ryzhikov

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	A Survey of the Return Times Theorem	2013	Idris Assani Kimberly Presser
+	Rates of Divergence of non-Conventional Ergodic Averages	2004	Anthony Quas Μáté Wierdl
+ PDF Chat	Rates of divergence of non-conventional ergodic averages	2009	Anthony Quas Μáté Wierdl

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	On modulated ergodic theorems for Dunford-Schwartz operators	1999	Michael Lin J. Olsen Arkady Tempelman
+	The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers, and related matters	1996	M. A. Akcoglu Alexandra Bellow R. W. L. Jones Viktor Losert Karin Reinhold-Larsson Μáté Wierdl
+ PDF Chat	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain
+	An Introduction to the Theory of Numbers.	1961	W. J. LeVeque Ivan Niven Herbert S. Zuckerman
+	Pointwise ergodic theorem along the prime numbers	1988	Μáté Wierdl
+	Convergence and divergence of ergodic averages	1994	R. W. L. Jones Μáté Wierdl
+	Integer sequences with big gaps and the pointwise ergodic theorem	1999	R. W. L. Jones Michael T. Lacey Μáté Wierdl
+ PDF Chat	Poincaré recurrence and number theory	1981	Harry Furstenberg
+	On the pointwise ergodic theorem onL p for arithmetic sets	1988	Jean Bourgain