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  • 1 Tbilisi State University Department of Mechanics and Mathematics Chavchavadze str. 1 Tbilisi 0128 Georgia
  • 2 College of Nyíregyháza Institute of Mathematics and Computer Science P.O. Box 166 Nyíregyháza H-4400 Hungary
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Abstract  

The main aim of this paper is to prove that the maximal operator σ0k*:= supnσn,nk∣ of the Fej�r means of double Fourier series with respect to the Kaczmarz system is not bounded from the Hardy space H1/2 to the space weak-L1/2.