Hiroshima Mathematical Journal

Characterizations of BMO by $A_{p}$ Weights and $p$-Convexity

Kwok-Pun Ho

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Abstract

We show that the Lebesgue spaces for defining BMO can be replaced by $p$-convex rearrangement-invariant quasi-Banach function spaces associated with $A_{p}$-weighted measures.

Article information

Source
Hiroshima Math. J., Volume 41, Number 2 (2011), 153-165.

Dates
First available in Project Euclid: 24 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1314204559

Digital Object Identifier
doi:10.32917/hmj/1314204559

Mathematical Reviews number (MathSciNet)
MR2849152

Zentralblatt MATH identifier
1227.42024

Subjects
Primary: 42B35: Function spaces arising in harmonic analysis 46B20: Geometry and structure of normed linear spaces 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords
Bounded Mean Oscillation $A_{p}$-weight $p$-convexity rearrangement-invariant quasi-Banach function spaces

Citation

Ho, Kwok-Pun. Characterizations of BMO by $A_{p}$ Weights and $p$-Convexity. Hiroshima Math. J. 41 (2011), no. 2, 153--165. doi:10.32917/hmj/1314204559. https://projecteuclid.org/euclid.hmj/1314204559


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Hiroshima University, Department of Mathematics

Hiroshima Mathematical Journal

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