The multipliers of multiple trigonometric Fourier series

Abstract

Abstract:We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λ k } k∈Z n in order to make it a multiplier of multiple trigonometric Fourier series from Lp[0;1] n toThese conditions include conditions Lizorkin theorem on multipliers.