FAST ALGORITHM FOR CALDERóN-ZYGMUND OPERATORS:CONVERGENCE SPEED AND ROUGH KERNEL

摘要

In this article, we consider a fast algorithm for first generation Caldern-Zygmund operators. First, we estimate the convergence speed of the relative approximation algorithm.Then, we establish the continuity on Besov spaces and Triebel-Lizorkin spaces for the operators with rough kernel.