Аннотация:For certain classes of functions of Λ-bounded variation on [−π,π], Waterman and D’Antonio constructed a sequence of summability kernels such that the corresponding integral means converge for any function from the class, but not for any function from a broader Λ′BV class. In our paper, we extend this result to the case of functions of two variables.Published Online: 2019-10-15 https://doi.org/10.1515/gmj-2019-2051