On the uniqueness of the one-sided maximal functions of Borel measures
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概要
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We prove that if ν and μ are arbitrary (signed) Borel measures (on the unit circle) such that M+ν(x) = M+μ(x) for each x, where M+ is the one-sided maximal operator (without modulus in the definition), then ν = μ. The proof is constructive and it shows how ν can be recovered from M+ν in the unique way.
- 2008-07-01
著者
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Ephremidze Lasha
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
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Fujii Nobuhiko
Department of Mathematics Tokai University
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