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Sawyer's duality principle for grand Lebesgue spaces

Author

Listed:
  • Pankaj Jain
  • Arun Pal Singh
  • Monika Singh
  • Vladimir D. Stepanov

Abstract

The aim of this paper is to extend Sawyer's duality principle from the cone of decreasing functions of the Lebesgue space to the cone of decreasing functions of the grand Lebesgue space and to prove the boundedness of classical Hardy operators in the grand Lebesgue spaces.

Suggested Citation

  • Pankaj Jain & Arun Pal Singh & Monika Singh & Vladimir D. Stepanov, 2019. "Sawyer's duality principle for grand Lebesgue spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 292(4), pages 841-849, April.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:4:p:841-849
    DOI: 10.1002/mana.201700312
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    Cited by:

    1. Maria Rosaria Formica & Eugeny Ostrovsky & Leonid Sirota, 2021. "Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups equipped with Haar measure," Mathematische Nachrichten, Wiley Blackwell, vol. 294(9), pages 1702-1714, September.

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