IJPAM: Volume 88, No. 4 (2013)
WEAK-STAR CONVERGENCE OF MEASURES
Kifah Y. Al-Hami
Department of Mathematics
University of Bahrain
P.O. Box 32038, Sukhair, BAHRAIN
Department of Mathematics
University of Bahrain
P.O. Box 32038, Sukhair, BAHRAIN
Abstract. Consider a lebesgue measure on
and let
. We construct a measure
such that
,
and
, for every Carleson set
in
and converges weak-star to
.
Received: July 31, 2013
AMS Subject Classification: Carleson set, weak-star convergence, Cantor set,
Key Words and Phrases:
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DOI: 10.12732/ijpam.v88i4.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 4