Almost everywhere convergence of Cesàro means of two variable Walsh – Fourier series with varying parameteres

• Date: 2021
• Main Authors: Abu Joudeh , A. A., Gát, G., Abu Joudeh, A. A.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/196
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We prove that the maximal operator of some $(C , \beta_{n})$ means of cubical partial sums of two variable Walsh – Fourier series of integrable functions is of weak type $(L_1,L_1)$. Moreover, the $ (C , \beta_{n})$-means $\sigma_{2^n}^{\beta_{n}} f$ of the function $ f \in L_{1} $ converg...