\(M^k\)-type sharp estimates and boundedness on Morrey space for Toeplitz type operators associated to fractional integral and singular integral operator with general kernel
The Toeplitz type operators are further generalizations of commutators from harmonic analysis. In the paper under review, for the Toeplitz type operators associated to fractional integral and singular integral operators with general kernels, the author establishes \(M^k\)-type sharp maximal function estimates. Here \(M^k\) denotes the \(k\)-iterated maximal function. As an application, the author obtains the weighted boundedness of the operators on some generalized Morrey spaces.
scientific article; zbMATH DE number 6484392
scientific article