Problems on averages and lacunary maximal functions

Type: Article

Publication Date: 2011-01-01

Citations: 6

DOI: https://doi.org/10.4064/bc95-0-11

Abstract

We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying meas

Locations

  • Banach Center Publications - View - PDF
  • arXiv (Cornell University) - View - PDF
  • Edinburgh Research Explorer (University of Edinburgh) - View - PDF
  • CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action Title Year Authors
+ Problems on averages and lacunary maximal functions 2010 Andreas Seeger
James Wright
+ Problems on averages and lacunary maximal functions 2010 Andreas Seeger
James Wright
+ $L^{p}-$estimates for uncentered spherical averages and lacunary maximal functions 2023 Ankit Bhojak
Surjeet Singh Choudhary
SaurabhRamBihariLal Shrivastava
Kalachand Shuin
+ Directional maximal operators and lacunarity in higher dimensions 2015 Javier Parcet
Keith M. Rogers
+ On estimates of the maximal operator associated to nondoubling measures 2012 Adrián Infante
Fernando Soria
+ PDF Chat Maximal estimates for averages over degenerate hypersurfaces 2025 Sekyung Oh
+ PDF Chat Extremal problems related to maximal dyadic-like operators 2010 Eleftherios N. Nikolidakis
+ Measures of polynomial growth and classical convolution inequalities 2014 Alex Iosevich
Ben Krause
Eric T. Sawyer
Krystal Taylor
Ignacio Uriarte-Tuero
+ Measures of polynomial growth and classical convolution inequalities 2014 Alex Iosevich
Ben Krause
Eric T. Sawyer
Krystal Taylor
Ignacio Uriarte-Tuero
+ On the continuity of maximal operators of convolution type at the derivative level 2021 Cristian González-Riquelme
+ PDF Chat Lacunary maximal functions on homogeneous groups 2023 Aswin Govindan Sheri
Jonathan Hickman
James Wright
+ Sharp $L^1$ estimates for the dyadic maximal operator 2021 Eleftherios N. Nikolidakis
Andreas G. Tolias
+ $L^2$ estimates for a Nikodym maximal function associated to space curves 2022 Aswin Govindan Sheri
+ On the variation of maximal operators of convolution type 2013 Emanuel Carneiro
B. F. Svaiter
+ An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator 2021 Eleftherios N. Nikolidakis
Andreas G. Tolias
+ L^p regularity of averages over curves and bounds for associated maximal operators 2005 Malabika Pramanik
Andreas Seeger
+ L^p regularity of averages over curves and bounds for associated maximal operators 2005 Malabika Pramanik
Andreas Seeger
+ Lacunary maximal functions on homogeneous groups 2023 Aswin Govindan Sheri
Jonathan Hickman
James Wright
+ Maximal averaging operators: from geometry to boundedness through duality 2020 Alexis Arraz Almirall
Christian Cobollo GĂłmez
Héctor Jardón-Sánchez
Cristina MartĂ­n Murillo
Andrés Quilis
Pol Ribera Baraut
Ioannis Parissis
+ On directional maximal operators in higher dimensions 2012 Javier Parcet
Keith M. Rogers