Wiener type theorems for Fourier-Vilenikin series with nonnegative coefficients and solid spaces
Wiener type theorems for Fourier-Vilenikin series with nonnegative coefficients and solid spaces
In the present paper we show that L p -integrability near zero of a function on Vilenkin group G with nonnegative Fourier-Vilenkin coefficients implies L p -integrability on G , if p is even integer.This is an analog of N. Wiener-S.Wainger result.A refinement of Hausdorff-Young-F.Riesz inequality is obtained and several …