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Cesàro and Riesz summability with varying parameters of multi-dimensional Walsh–Fourier series
Acta Mathematica Hungarica ( IF 0.9 ) Pub Date : 2020-01-27 , DOI: 10.1007/s10474-020-01024-7
F. Weisz

It is proved that the maximal operator of subsequences of the Cesàro and Riesz means with varying parameters is bounded from the dyadic Hardy space H p to L p . This implies an almost everywhere convergence for the subsequences of tqoo.

中文翻译:

Cesàro 和 Riesz 与多维 Walsh-Fourier 级数不同参数的可和性

证明了具有变化参数的Cesàro 和Riesz 均值的子序列的极大算子从二元Hardy 空间H p 到L p 有界。这意味着 tqoo 的子序列几乎处处收敛。
更新日期:2020-01-27
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