Lp NORMS OF THE BOREL TRANSFORM AND THE DECOMPOSITION OF MEASURES
نویسنده
چکیده
We relate the decomposition over [a, b] of a measure dμ (on R ) into absolutely continuous, pure point, and singular continuous pieces to the behavior of integrals b ∫ a (ImF (x+ i )) dx as ↓ 0. Here F is the Borel transform of dμ, that is, F (z) = ∫ (x− z)−1 dμ(x). §
منابع مشابه
Norms of the Borel Transform and the Decomposition of Measures
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تاریخ انتشار 1995