期刊论文详细信息
Canadian mathematical bulletin | |
Estimates for Compositions of Maximal Operators with Singular Integrals | |
Richard Oberlin1  | |
[1] Mathematics Department, Louisiana State University, Baton Rouge, LA | |
关键词: maximal operator calderon-zygmund; | |
DOI : 10.4153/CMB-2012-003-x | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
We prove weak-type $(1,1)$ estimates for compositions of maximaloperators with singular integrals. Our main object of interest is theoperator $Delta^*Psi$ where $Delta^*$ is Bourgain's maximalmultiplier operator and $Psi$ is the sum of several modulatedsingular integrals; here our method yields a significantly improvedbound for the $L^q$ operator norm when $1 lt q lt 2.$ We also considerassociated variation-norm estimates.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050576967ZK.pdf | 14KB | download |