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Some endpoint estimates for bilinear Coifman-Meyer multipliers
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-01-20 , DOI: 10.1016/j.jmaa.2021.124972
Sergi Arias , Salvador Rodríguez-López

In this paper we establish mapping properties of bilinear Coifman-Meyer multipliers acting on the product spaces H1(Rn)×bmo(Rn) and Lp(Rn)×bmo(Rn), with 1<p<. As application of these results, we obtain some related Kato-Ponce-type inequalities involving the endpoint space bmo(Rn), and we also study the pointwise product of a function in bmo(Rn) with functions in H1(Rn), h1(Rn) and Lp(Rn), with 1<p<.



中文翻译:

双线性Coifman-Meyer乘数的一些端点估计

在本文中,我们建立了作用于乘积空间上的双线性Coifman-Meyer乘子的映射性质 H1个[Rñ×bmo[Rñ大号p[Rñ×bmo[Rñ,带有 1个<p<。应用这些结果,我们获得了涉及端点空间的一些相关的Kato-Ponce型不等式bmo[Rñ,我们还研究了函数的点积 bmo[Rñ 具有功能 H1个[RñH1个[Rñ大号p[Rñ,带有 1个<p<

更新日期:2021-01-26
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