Weighted boundedness of multilinear singular integral operators

Wei-ping, Kuang; Wang, Zhigang

doi:10.1186/1029-242x-2014-115

J Inequal Appl

2014

DOI: 10.1186/1029-242x-2014-115

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Weighted boundedness of multilinear singular integral operators

Kuang Wei-ping

Zhigang Wang

Abstract: In this paper, we establish the weighted sharp maximal function inequalities for the multilinear singular integral operators. As an application, we obtain the boundedness of the multilinear operators on weighted Lebesgue and Morrey spaces. MSC: 42B20; 42B25

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2016

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Real interpolation with weighted rearrangement invariant Banach function spaces

Chill

Król

2016

J. Evol. Equ.

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Abstract. Motivated by recent applications of weighted norm inequalities to maximal regularity of first and second order Cauchy problems, we study real interpolation spaces on the basis of general Banach function spaces and, in particular, weighted rearrangement invariant Banach function spaces. We show equivalence of the trace method and the K-method, identify real interpolation spaces between a Banach space and the domain of a sectorial operator, and reprove an extension of Dore's theorem on the boundedness of H ∞ -functional calculus to this general setting.

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Real interpolation with weighted rearrangement invariant Banach function spaces

Chill

Król

2016

J. Evol. Equ.

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Weighted boundedness of multilinear singular integral operators

Abstract: In this paper, we establish the weighted sharp maximal function inequalities for the multilinear singular integral operators. As an application, we obtain the boundedness of the multilinear operators on weighted Lebesgue and Morrey spaces. MSC: 42B20; 42B25

Cited by 1 publication

References 19 publications

Real interpolation with weighted rearrangement invariant Banach function spaces

Real interpolation with weighted rearrangement invariant Banach function spaces

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