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Maximal operators of Fejér means of double Walsh-Fourier series

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Abstract

The main aim of this paper is to prove that the maximal operator \(\sigma _0^* : = \mathop {\sup }\limits_n \left| {\sigma _{n,n} } \right|\) of the Fejér mean of the double Walsh-Fourier series is not bounded from the Hardy space H 1/2 to the space weak-L 1/2.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Tbilisi State University, Chavchavadze str. 1, Tbilisi, 0128, Georgia

    U. Goginava

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  1. U. Goginava
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Additional information

This paper was written during the visit of the author at the College of Nyíregyháza in Hungary.

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Goginava, U. Maximal operators of Fejér means of double Walsh-Fourier series. Acta Math Hung 115, 333–340 (2007). https://doi.org/10.1007/s10474-007-5268-6

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  • DOI: https://doi.org/10.1007/s10474-007-5268-6

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