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

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Bui, The Anh

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The Australian National University, Mathematical Sciences Institute, Centre for Mathematics & its Applications

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

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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. http://projecteuclid.org/euclid.pcma/1417630503.

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Proceedings of the Centre for Mathematics and its Applications

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