Strong convergence theorem of Cesàro means with respect to the Walsh system

preprint2015arXivOpen access

We prove that Cesàro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space $H_{p}$ for $% 0<p<1/\left( 1+α\right).$

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Strong convergence theorem of Cesàro means with respect to the Walsh system

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