2008•Unpublished venueRequires access

Boundedness of commutators of Littlewood-Paley operators on weighted Herz-Hardy spaces

Xiao Dan

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Abstract

Some properties are considered for the commutators of Littewood-Paley operators gψ,b on weighted Herz-Hardy spaces. And the author discusses the boundedness of gψ.b from H■_q~(α,p)(ω1,ω2) to ■_q~(α,p)(ω1,ω2)and from H■_q~(α,p)(ω1,ω2) to H■_q~(α,p)(ω1,ω2).

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What this paper is about

Some properties are considered for the commutators of Littewood-Paley operators gψ,b on weighted Herz-Hardy spaces. And the author discusses the boundedness of gψ.b from H■_q~(α,p)(ω1,ω2) to ■_q~(α,p)(ω1,ω2)and from H■_q~(α,p)(ω1,ω2) to H■_q~(α,p)(ω1,ω2).

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Available abstract

Some properties are considered for the commutators of Littewood-Paley operators gψ,b on weighted Herz-Hardy spaces. And the author discusses the boundedness of gψ.b from H■_q~(α,p)(ω1,ω2) to ■_q~(α,p)(ω1,ω2)and from H■_q~(α,p)(ω1,ω2) to H■_q~(α,p)(ω1,ω2).

Key concepts: Mathematics, Hardy space, Pure mathematics, Commutator, Algebra over a field, Lie conformal algebra

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