LINEAR MONOTONE-OPERATORS AND WEIGHTED BMO

Authors
LAI QS
Citation
Qs. Lai, LINEAR MONOTONE-OPERATORS AND WEIGHTED BMO, Proceedings of the American Mathematical Society, 120(3), 1994, pp. 875-887
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
3
Year of publication
1994
Pages
875 - 887
Database
ISI
SICI code
0002-9939(1994)120:3<875:LMAWB>2.0.ZU;2-6
Abstract
In this paper, the linear monotone operators, which include the well k nown Hardy operator and Riemann-Liouville fractional integrals, are in troduced. A necessary and sufficient condition for them to be bounded from a Banach function space into a weighted BMO is given, and their c ompactness in some particular cases is studied. Meanwhile, the embeddi ng properties concerning the weighted BMO are investigated.