Best possible localization conditions for rectangular Cesáro means and Abel means in restricted summability of a multiple trigonometric Fourier series in Liouville classes
Abstract:
In the paper the best possible localization conditions are established for the rectangular Cesáro means of an arbitrary positive order and the means of Abel's method for the bounded summation of a multiple trigonometric Fourier series in the Liouville classes $L_p^{*\gamma}(G)$.