Strong convergence theorem of Cesàro means with respect to the Walsh system
Abstract
We prove that Cesàro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space $H_{p}$ for $% 0<p<1/\left( 1+\alpha \right).$
- Publication:
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arXiv e-prints
- Pub Date:
- April 2015
- DOI:
- 10.48550/arXiv.1504.05975
- arXiv:
- arXiv:1504.05975
- Bibcode:
- 2015arXiv150405975B
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 42C10
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:1504.05778