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arXiv · 2008.00941

The One-dimensional Martingale Hardy Spaces and Partial Sums and Fej\'er Means with respect to Walsh system

George Tephnadze
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Abstract

In this paper we prove and discuss some new $\left( H_p,L_{p}\right)$ type inequalities for partial Sums and Fej\'er means with respect to Walsh system. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.

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George Tephnadze. 2020-07-28. The One-dimensional Martingale Hardy Spaces and Partial Sums and Fej\'er Means with respect to Walsh system. https://arxiv.org/abs/2008.00941

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