2015Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

Boundedness of Multilinear Oscillatory SingularIntegral on WeightedWeak Hardy Spaces

Yali, Pan, Chang-wen, Li

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Abstract

In this paper, by using the atomic decomposition of the weighted weakHardy space WH1w (Rn), the authors discuss a class of multilinear oscillatory singularintegrals and obtain their boundedness from the weighted weak Hardy spaceWH1w (Rn) to the weighted weak Lebesgue spaceWL1w(Rn) for w∈ A1(Rn).

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What this paper is about

In this paper, by using the atomic decomposition of the weighted weakHardy space WH1w (Rn), the authors discuss a class of multilinear oscillatory singularintegrals and obtain their boundedness from the weighted weak Hardy spaceWH1w (Rn) to the weighted weak Lebesgue spaceWL1w(Rn) for w∈ A1(Rn).

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Available abstract

In this paper, by using the atomic decomposition of the weighted weakHardy space WH1w (Rn), the authors discuss a class of multilinear oscillatory singularintegrals and obtain their boundedness from the weighted weak Hardy spaceWH1w (Rn) to the weighted weak Lebesgue spaceWL1w(Rn) for w∈ A1(Rn).

Key concepts: Multilinear map, Hardy space, Mathematics, Class (philosophy), Pure mathematics, Decomposition, Space (punctuation), Lp space

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