The Boundedness of Multilinear Calder {o}n-Zygmund Singular Integral Operators
主 题: The Boundedness of Multilinear Calder {o}n-Zygmund Singular Integral Operators
报告人: 黄际政 (北方工业大学)
时 间: 2014-05-20 16:00-17:00
地 点: 理科一号楼 1418(主持人:刘和平)
Let $K(x, y_1,\\cdots,y_m)$ be a locally integrable function defined away from the diagonal $x=y_1=\\cdots=y_m$ in $(\\mathbb{R}^n)^{m 1}$ which satisfies the size estimate and the smoothness estimates. The $m-$linear operators $T$ defined related to $K$ is called an $m-$linear operator with the Calder\\\'{o}n-Zygmund kernel $K$. In this talk, we will talk about some results about the boundedness of multilinear Calder\\\'{o}n-Zygmund singular integral operaotrs, including $L^p$-boundedness and $H^p$-boundedness.