Convergence of Trigonometric and Walsh - Fourier Series
نویسنده
چکیده
In this paper we present some results on convergence and summability of oneand multi-dimensional trigonometric andWalsh-Fourier series. The Fejér and Cesàro summability methods are investigated. We will prove that the maximal operator of the summability means is bounded from the corresponding classical or martingale Hardy space Hp to Lp for some p > p0. For p = 1 we obtain a weak type inequality by interpolation, which ensures the almost everywhere convergence of the summability means.
منابع مشابه
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