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WEAK-STAR CONVERGENCE OF MEASURES

Published in Academic Publications, Ltd
2013
Volume: 88
   
Issue: 4
Pages: 523 - 527
Abstract

Consider a lebesgue measure λ on [0 , 1] and let 0 ≤ h ∈ L 1 (λ). We construct a measure µ such that kµk ≤ 2. khkL1(λ) , µ⊥λ and µ (E) = 0, for every Carleson set E in [0 , 1] and converges weak-star to h dλ.

About the journal
JournalInternational Journal of Pure and Applied Mathematics
PublisherAcademic Publications, Ltd
ISSN1311-8080
Open AccessNo