Goginava, Ushangi Maximal \((C,\alpha,\beta)\) operators of two-dimensional Walsh-Fourier series. (English) Zbl 1164.42320 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 24, No. 2, 209-214 (2008). Summary: The main aim of this paper is to prove that for the boundedness of the maximal operator \(\sigma^{\alpha,\beta}_*\) from the Hardy space \(H_p(I^2)\) to the space \(L_p(I_2)\) the assumption \(p>\max\{1/(\alpha+1),1/(\beta+1)\}\) is essential. Cited in 1 Document MSC: 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) Keywords:Walsh function; Hardy space; maximal operator PDFBibTeX XMLCite \textit{U. Goginava}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 24, No. 2, 209--214 (2008; Zbl 1164.42320) Full Text: EuDML