Weak $(1,1)$ estimate for maximal truncated rough singular integral operator-China University of Mining & Technology-Beijing-China University of Mining & Technology-Beijing

Weak $(1,1)$ estimate for maximal truncated rough singular integral operator

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speaker:Xudong Lai

time: 2025.10.24,10:00-11:00 am

place: Yifu Building 1537

Abstract：

In their seminal work (Amer. J. Math. 78: 289-309, 1956), Calder\'on and Zygmund introduced the maximal truncated rough singular integral operator and established its $L^p$-boundedness for $1<p< unfty$. However, the cndpoint case $p- 1$ remained an open problem. In this talk, we show our recent result which resolves this problem. More precisely, we prove that the maximal truncated rough singular integral operator is of weak type $(1.1)$.

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