Maximal operators of Fejér means of double Walsh-Fourier series. (English) Zbl 1174.42336
Summary: The main aim of this paper is to prove that the maximal operator \(\sigma^*_0:=\sup_n| \sigma_{n,n}| \) of the Fejér mean of the double Walsh-Fourier series is not bounded from the Hardy space \(H_{\frac 12}\) to the space weak-\(L_{\frac 12}\).
MSC:
| 42C10 | Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) |
References:
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