习得学术论坛（第89期）

和山数学论坛第39讲

一、主讲人：Kozo Yabuta （Kwansei Gakuin University）（日本关西学院大学教授）

二、主  题：Fractional type Marcinkiewicz integral operators associated to surfaces

三、时  间：2012年10月18日下午 15:10—16:10

四、地  点：闻理园A4-222室（太阳成集团tyc122cc会议室）

欢迎广大师生参加！

 2012年10月16日

摘要: In this talk, we discussed about the boundedness of the fractional type Marcinkiewicz integral operators associated to surfaces, and improve a result given by Chen, Fan and Ying in 2002. They showed that under certain conditions the fractional type Marcinkiewicz integral operators are bounded from the Triebel-Lizorkin spaces $\dot F_{pq}^{\alpha}(\mathbb R^n)$ to $L^p(\mathbb R^n)$. We weaken their assumptions and extend their results to a pretty much more general way.