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Integrals of weighted maximal logarithmic kernels on bounded Vilenkin groups

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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].

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Authors and Affiliations

  1. Department of Applied Mathematics and Probability Theory Faculty of Informatics, University of Debrecen, Debrecen, Hungary

    István Mező

  2. Institute of Mathematics and Computer Sciences, College of Nyíregyháza, Nyíregyháza, Hungary

    Károly Nagy

Authors
  1. István Mező
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  2. Károly Nagy
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Correspondence to István Mező.

Additional information

Communicated by András Kroó

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Mező, I., Nagy, K. Integrals of weighted maximal logarithmic kernels on bounded Vilenkin groups. Period Math Hung 64, 89–99 (2012). https://doi.org/10.1007/s10998-012-9089-1

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  • DOI: https://doi.org/10.1007/s10998-012-9089-1

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