Linear monotone operators and weighted BMO

Lai, Qinsheng

doi:10.1090/S0002-9939-1994-1169887-9

Linear monotone operators and weighted BMO
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Proc. Amer. Math. Soc. 120 (1994), 875-887 Request permission

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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Two-weighted estimates for Riemann-Liouville integrals

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