Restricted maximal operators of Fejér means of double Walsh-Fourier series
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The main aim of this paper is to prove that there exists a martingale f ∈ H 1 2/▭ such that the restricted maximal operators of Fejér means of twodimensional Walsh-Fourier series and conjugate Walsh-Fourier series does not belong to the space weak-L 1/2.
Key words and phrasesWalsh function Hardy space maximal operator
Mathematics subject classification number42C10
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- F. Weisz, Summability of multi-dimensional Fourier series and Hardy space, Kluwer Academic, Dordrecht, 2002.Google Scholar