2012•Mathematica ApplicataRequires access

Marcinkiewicz Integral on Hardy-Lorentz Spaces

Lei Wang

Abstract

Motivated by the theory of Hardy spaces and the definition of Hardy-Lorentz spaces,the boundedness of operators on Hardy-Lorentz spaces are discussed.By using the atomic decomposition of Hardy-Lorentz spaces and the results of the boundedness of operators on Lp,the boundedness of Marcinkiewicz integral operators from certain Hardy-Lorentz spaces to Lp,∞(Rn) spaces is obtained.

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Key concepts: Hardy space, Lorentz transformation, Mathematics, Interpolation space, Lorentz space, Pure mathematics, Lp space, Mathematical analysis