CORRECTION AND ADDITION TO “L²-BOUNDEDNESS OF MARCINKIEWICZ INTEGRALS ALONG SURFACES WITH VARIABLE KERNELS”

Abstract

In our paper “L²-boundedness of Marcinkiewicz integrals along surfaces with variable kernels”, we have found that Theorems 3 and 5 are not correct. Here, we reformulate Theorems 3 and 5, so that L²-boundedness holds as in Theorems 1 and 4.