Weak (1,1) estimate for maximal truncated rough singular integral operator
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：Xudong Lai (Harbin Institute of TechnologyHarbin Institute of Technology)
： 2026-04-01 15:00
：Tencent Meeting ID：343-302-765
Speaker：Xudong Lai (Harbin Institute of TechnologyHarbin Institute of Technology)
Time：2026-4-1 15:00
Location：Tencent Meeting ID：343-302-765
Abstract:
In their seminal work (Amer. J. Math. 78: 289-309, 1956), Calderón and Zygmund introduced the maximal truncated rough singular integral operator and established its Lp-boundedness for 1 < p < ∞. However, the endpoint 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).
