Littlewood-Paley operators on BMO
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- by Douglas S. Kurtz
- Proc. Amer. Math. Soc. 99 (1987), 657-666
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877035-1
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Abstract:
Two Littlewood-Paley operators, the area integral and the function $g_\lambda ^ *$, are considered as operators on functions of bounded mean oscillation. It is proved that the image of a BMO function under one of these operators is either equal to infinity almost everywhere or is in BMO.References
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Bibliographic Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 657-666
- MSC: Primary 42B25; Secondary 42B20
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877035-1
- MathSciNet review: 877035