On Ces\'aro summability of Fourier series of functions from   multidimensional Waterman classes
  An analogue of D. Waterman's result on the summability of the Fourier series for functions of bounded \Lambda-variation by the Ces\'aro methods of negative order is obtained in multidimensional case. It is proved that, unlike one-dimensional case, the continuity of function in the corresponding variation is essential for the convergence and even for the localization of the Ces\'aro means for certain orders of these means. 
Alexandr Bakhvalov
math.CA