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Strong convergence of two‐dimensional Vilenkin‐Fourier series |
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| Authors: | Nacima Memić Ilona Simon George Tephnadze |
| Affiliation: | 1. Department of Mathematics, University of Sarajevo, Sarajevo, Bosnia and Herzegovina;2. Institute of Mathematics and Informatics, University of P?cs, Hungary;3. Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi State University, Tbilisi, Georgia;4. Department of Engineering Sciences and Mathematics, Lule? University of Technology, Lule?, Sweden |
| Abstract: | We prove that certain means of the quadratical partial sums of the two‐dimensional Vilenkin‐Fourier series are uniformly bounded operators from the Hardy space  to the space  for  We also prove that the sequence in the denominator cannot be improved. |
| Keywords: | Vilenkin systems strong convergence martingale Hardy space 42C10 |
