2009•Journal of Qingdao UniversityRequires access

Boundedness for Commutators of Littlewood-Paley Operators on Hardy-Lorentz Spaces

Sun Xiao-hua

Abstract

The boundedness of commutators of Littlewood-Paley operators from certain Hardy-Lorentz spaces to Lp,∞(Rn) space is obtained from the results of boundedness of Lq spaces by using the atomic decomposition of the Hardy-Lorentz spaces and the inequality estimates.This result complements the result of boundedness of commutators of Littlewood-Paley operators.

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Key concepts: Hardy space, Mathematics, Lorentz transformation, Lorentz space, Pure mathematics, Space (punctuation), Commutator, Mathematical analysis