IJPAM: Volume 105, No. 3 (2015)

SINGULAR INNER FUNCTION AND
ANALYTIC BOUNDED POINT EVALUATION

Kifah Al-Hami
Mathematics Department
College of Science
University of Bahrain, 32038, BAHRAIN


Abstract. In Section 1, I constructed a singular inner function which is an upper bound for a given outer function, i.e. replacing an outer function with a constant multiple of a singular inner

In Section 2, I proved how unit disk containment is not effected for the analytic bounded point evaluation by a restricted measure.

Received: September 14, 2015

AMS Subject Classification: 53C20, 53B20

Key Words and Phrases: outer function, singular inner function, Carleson set, bounded point evaluation

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DOI: 10.12732/ijpam.v105i3.10 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: 2015
Volume: 105
Issue: 3
Pages: 427 - 430


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