Endpoint estimates for commutators of Calderón-Zygmund type operators (Q1609933)

Let \(T\) be a special Calderón-Zygmund operator of \(\theta\) type introduced by \textit{K. Yabuta} in [Stud. Math. 82, 17-31 (1985; Zbl 0585.42012)] and \(b\) be a BMO function. In this paper, the authors establish some endpoint estimates for the commutator, \([b, T]=bT-Tb\). These estimates include the weak type \(L\log L\) estimate, the weak type \((H^1, L^1)\) estimate and some estimates in the Hardy type spaces associated with \(b\).