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The fundamental theorem of two-parameter pointwise derivative on Vilenkin groups

Основная теорема о двумернои поточечнои проиэводнои на группах Виленкина

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Abstract

In this paper we prove the two-dimensional pointwise differentiability (provided that the distance of the indices is bounded) of the integral of an integrable function on two-parameter bounded Vilenkin groups.

Abstract

В работе докаэана двумерная поточечная дифференцируемостя (при условии ограниченности расстояния мезду индексами) интеграла от интегрируемых функции на двупараметрических ограниченных группах Виленкина.

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Authors and Affiliations

  1. Department of Mathematics, Bessenyei College, Nyíregyháza, P.O.Box 166, H-4400, Hungary

    G. Gát, K. Nagy, Г. Гат & К. Надя

Authors
  1. G. Gát
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  2. K. Nagy
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  3. Г. Гат
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  4. К. Надя
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Corresponding author

Correspondence to G. Gát.

Additional information

Research supported by the Hungarian National Foundation for Scientific Research (OTKA) Grants # F015765, F007347, F020334, the “Alapítvány a Magyar Felsőoktatásért és Kutatásért”, the foundation of the Hungarian Credit Bank (MHB) Grant # 485/94, and by the Hungarian “Művelődési és Közoktatási Minisztérium” Grant # FKFP 0710/1997.

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Gát, G., Nagy, K., Гат, Г. et al. The fundamental theorem of two-parameter pointwise derivative on Vilenkin groups. Anal Math 25, 33–55 (1999). https://doi.org/10.1007/BF02908425

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  • DOI: https://doi.org/10.1007/BF02908425

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