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Sawyer's duality principle for grand Lebesgue spaces
Author(s) -
Jain Pankaj,
Singh Arun Pal,
Singh Monika,
Stepanov Vladimir D.
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700312
Subject(s) - mathematics , lp space , duality (order theory) , cone (formal languages) , lebesgue's number lemma , lebesgue integration , pure mathematics , standard probability space , space (punctuation) , mathematical analysis , riemann integral , banach space , operator theory , linguistics , philosophy , algorithm , fourier integral operator
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.