Singular integral operator, Hardy-Morrey space estimates for multilinear operators and Navier-Stokes equations
Copyright policy )Singular integral operator, Hardy-Morrey space estimates for multilinear operators and Navier-Stokes equations
Summary: After establishing the molecule characterization of the Hardy -- Morrey space, we prove the boundedness of the singular integral operator and the Riesz potential. We also obtain the Hardy -- Morrey space estimates for multilinear operators satisfying certain vanishing moments. As an application, we study the existence and the uniqueness of the solutions to the Navier -- Stokes equations for the initial data in the Hardy -- Morrey space \(\mathcal H\mathcal M^p_q(p \geqslant n)\) for \(q\) as small as possible. Here, the Hardy -- Morrey space estimates for multilinear operators are important tools.
- Zhejiang Ocean University China (People's Republic of)
- Institute of Applied Physics and Computational Mathematics China (People's Republic of)
- Zhejiang University of Finance and Economics China (People's Republic of)
Maximal functions, Littlewood-Paley theory, multilinear operator, Navier-Stokes equations for incompressible viscous fluids, Pseudodifferential operators as generalizations of partial differential operators, Navier-Stokes equations, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Hardy-Morrey space, div-curl theorem, Navier-Stokes equation
Maximal functions, Littlewood-Paley theory, multilinear operator, Navier-Stokes equations for incompressible viscous fluids, Pseudodifferential operators as generalizations of partial differential operators, Navier-Stokes equations, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Hardy-Morrey space, div-curl theorem, Navier-Stokes equation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).13 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!