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Sawyer Duality Principle in Grand Lebesgue Spaces

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Abstract

The Sawyer duality principle is obtained for grand Lebesgue spaces on the unit interval, and the Hardy operators are shown to be bounded in these spaces.

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Author information

Authors and Affiliations

  1. South Asian University, Delhi, India

    P. Jain

  2. University of Delhi, Delhi, India

    A. P. Singh & M. Singh

  3. RUDN University, Moscow, 117198, Russia

    V. D. Stepanov

Authors
  1. P. Jain
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  2. A. P. Singh
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  3. M. Singh
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  4. V. D. Stepanov
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Corresponding author

Correspondence to V. D. Stepanov.

Additional information

Original Russian Text © P. Jain, A.P. Singh, M. Singh, V.D. Stepanov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 478, No. 2, pp. 131–132.

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Jain, P., Singh, A.P., Singh, M. et al. Sawyer Duality Principle in Grand Lebesgue Spaces. Dokl. Math. 97, 18–19 (2018). https://doi.org/10.1134/S1064562418010064

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  • DOI: https://doi.org/10.1134/S1064562418010064

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