Estimates for maximal multilinear commutators on non-homogeneous spaces
Let \(\mu\) be a Radon measure on \(\mathbb{R}^d\) supposed to be non-doubling measure. The authors consider the Calderón-Zygmund operator \[ Tf(x)= \int_{\mathbb{R}^d} K(x,y) f(y)d\mu(y), \] where the kernel \(K(x,y)\) satisfies some conditions. They define the maximal multilinear commutators generated by \(T\) and \(\text{RBMO}(\mu)\) functions and prove their \(L^p(\mu)\)-boundedness, where the space \(\text{RBMO}(\mu)\) was introduced by \textit{X. Tolsa } [Math. Ann. 319, No. 1, 89--149 (2001; Zbl 0974.42014)].
scientific article; zbMATH DE number 5555249