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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Linear monotone operators and weighted BMO


Author: Qinsheng Lai
Journal: Proc. Amer. Math. Soc. 120 (1994), 875-887
MSC: Primary 42B99; Secondary 47B38
DOI: https://doi.org/10.1090/S0002-9939-1994-1169887-9
MathSciNet review: 1169887
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Abstract: In this paper, the linear monotone operators, which include the well-known Hardy operator and Riemann-Liouville fractional integrals, are introduced. A necessary and sufficient condition for them to be bounded from a Banach function space into a weighted BMO is given, and their compactness in some particular cases is studied. Meanwhile, the embedding properties concerning the weighted BMO are investigated.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1169887-9
Article copyright: © Copyright 1994 American Mathematical Society