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A general maximal operator and the 𝐴_{𝑝}-condition
M. A. Leckband, C. J. Neugebauer
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Source: Crossref
Published: Jan 1, 1983
DOI: 10.1090/s0002-9947-1983-0682735-3
Open original source ↗Source abstract
A rearrangement inequality for a general maximal operator M f ( x ) = sup x ∈ Q ∫ f ϕ Q d ν Mf(x) = {\sup _{x \in Q}}\int {f\phi _{Q}\,d\nu } is established. This is then applied to the Hardy-Littlewood maximal operator with weights.
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