On the uniqueness of the one-sided maximal functions of Borel measures

DOI Web Site 18 References Open Access

Search this article

Description

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.

Journal

References(18)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top