Multilinear commutators of Calderón--Zygmund operators on Hardy-type spaces with non-doubling measures
Let \(\mu\) be a Radon measure on \({\mathbb R}^d\). Instead of the doubling property, it is assumed that \( \mu(B(x,r))\leq Cr^n \) for some \(C>0\) and \(0<n\leq d\). The goal of the present paper is to prove the boundedness of multilinear commutators generated by Calderón-Zygmund operators or rational integrals on some subspaces of the Hardy space \(H^1(\mu)\) defined by Tolsa and associated to \(RBMO(\mu)\) functions, introduced also by Tolsa.
scientific article; zbMATH DE number 5017377
scientific article