Proceedings of the Centre for Mathematics and its Applications

Boundedness of maximal operators and maximal commutators on non-homogeneous spaces

The Ahn Bui

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Abstract

Let $(X, \mu)$ be a non-homogeneous space in the sense that $X$ is a metric space equipped with an upper doubling measure $\mu$. The aim of this paper is to study the endpoint estimate of the maximal operator associated to a Calderón-Zygmund operator $T$ and the $L^p$ boundedness of the maximal commutator with RBMO functions

Article information

Source
AMSI International Conference on Harmonic Analysis and Applications. Xuan Duong, Jeff Hogan, Chris Meaney, and Adam Sikora, eds. Proceedings of the Centre for Mathematics and its Applications, v. 45. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2013), 22-36

Dates
First available in Project Euclid: 3 December 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1417630503

Mathematical Reviews number (MathSciNet)
MR3424865

Zentralblatt MATH identifier
1337.42017

Citation

Bui, The Ahn. Boundedness of maximal operators and maximal commutators on non-homogeneous spaces. AMSI International Conference on Harmonic Analysis and Applications, 22--36, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2013. https://projecteuclid.org/euclid.pcma/1417630503


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