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2012•Journal of Lanzhou UniversityRequires access

Boundedness of commutators on Hardy-Lorentz spaces

Kai Zhao

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Abstract

Some Hardy-Lorentz spaces were introduced.Based on the characteristic of atomic decomposition of such spaces and by means of the L~p boundedness of commutators,the boundedness of the commutators generated by Calderon-Zygmund operators and BMO functions and the commutators generated by Littlewood-Paley operators and BMO functions from H_b~(p,q)(R~n) to L~(p,∞)(R~n) were obtained.

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What this paper is about

Some Hardy-Lorentz spaces were introduced.Based on the characteristic of atomic decomposition of such spaces and by means of the L~p boundedness of commutators,the boundedness of the commutators generated by Calderon-Zygmund operators and BMO functions and the commutators generated by Littlewood-Paley operators and BMO functions from H_b~(p,q)(R~n) to L~(p,∞)(R~n) were obtained.

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Available abstract

Some Hardy-Lorentz spaces were introduced.Based on the characteristic of atomic decomposition of such spaces and by means of the L~p boundedness of commutators,the boundedness of the commutators generated by Calderon-Zygmund operators and BMO functions and the commutators generated by Littlewood-Paley operators and BMO functions from H_b~(p,q)(R~n) to L~(p,∞)(R~n) were obtained.

Key concepts: Hardy space, Lorentz transformation, Mathematics, Pure mathematics, Commutator, Maximal function, Mathematical analysis, Algebra over a field

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