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  • 1 Department of Applied Mathematics and Probability Theory Faculty of Informatics, University of Debrecen, Debrecen, Hungary
  • 2 Institute of Mathematics and Computer Sciences, College of Nyíregyháza, Nyíregyháza, Hungary
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Abstract  

The integrals of maximal Riesz and Nörlund kernels are infinite, so we have to use some weight function to “pull them back” to the finite. In this paper we give necessary and sufficient conditions for the weight function to get a finite integral on bounded Vilenkin groups. For our motivation we refer the readers to [4], [5], [6].