Pointwise multipliers and decomposition theorems in \(F^{\infty,q}_s\)
The authors give characterizations of the pointwise multipliers of the holomorphic Triebel-Lizorkin spaces \(F_s^{\infty,q}\) in terms of pointwise estimates and weighted Carleson measures. These characterizations are used to obtain some embeddings between pointwise multipliers of Triebel-Lizorkin spaces \(F_s^{p,q}\), and to solve a corona type problem for the spaces \(F_s^{\infty,q}\). The boundedness of a family of integral operators acting in non-isotropic tent spaces \(T^{\infty,q}\) is studied. In particular, these results permit one to obtain \(T^{\infty,q}\)-estimates of the solution of the \(\overline\partial\)-equation.
pointwise multipliers of the holomorphic Triebel-Lizorkin spaces
integral operators in spaces of Carleson measures
scientific article; zbMATH DE number 2120954