A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator

Lanzhe Liu

doi:10.1515/gmj.2004.361

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A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator

Lanzhe Liu

Year: 2004 Journal: Georgian Mathematical Journal Publisher: Springer Science+Business Media

DOI: 10.1515/gmj.2004.361

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Abstract

We establish a sharp estimate for a multilinear Littlewood–Paley operator. As an application, we obtain weighted norm inequalities and a Llog L type estimate for a multilinear operator.

Keywords:

Multilinear map Mathematics Operator (biology) Pure mathematics

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Advanced Harmonic Analysis Research

Physical Sciences → Mathematics → Applied Mathematics

Nonlinear Partial Differential Equations

Physical Sciences → Mathematics → Applied Mathematics

Numerical methods in inverse problems

Physical Sciences → Mathematics → Mathematical Physics

A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator

Abstract

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