Sawyer's duality principle for grand Lebesgue spaces

Sawyer's duality principle for grand Lebesgue spaces

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.

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Veröffentlicht in:Mathematische Nachrichten 2019-04, Vol.292 (4), p.841-849
Hauptverfasser: Jain, Pankaj, Singh, Arun Pal, Singh, Monika, Stepanov, Vladimir D.
Format: Artikel
Sprache:eng
Schlagworte:
26D10
associate space
Duality principle
grand Lebesgue space
small Lebesgue space
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Beschreibung
Zusammenfassung: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.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201700312