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On an equivalent class of norms for BMO
Part of
- Harmonic analysis in several variables
Yong-Zhuo Chen, Ka-Sing Lau
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 46 / Issue 2 / April 1989

Published online by Cambridge University Press:

09 April 2009, pp. 289-295

Print publication:

April 1989
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The BMO norm of f is equivalent to where Pt is the Poisson kernel. In this note, we show that Pt can be replaced by a nonnegative radial function h, which is positive in a neighbourhood of 0, with and , where h is the least decreasing radial majorant of h.