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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Two extremal problems


Authors: Andrew Harrington and Marvin Ortel
Journal: Trans. Amer. Math. Soc. 221 (1976), 159-167
MSC: Primary 30A78
MathSciNet review: 0409828
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Abstract | References | Similar Articles | Additional Information

Abstract: The class H consists of all functions f which are analytic in the disk D and satisfy

$\displaystyle \int\limits_D {\int {\vert f(z)\vert dx\;dy} < \infty .} $

Linear extremal problems for functionals of the type $ \Lambda(f) = \smallint {\smallint _D}f(z)\phi (z)\;dx\;dy,\phi \in {L^\infty }(D),f \in H$, are studied.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1976-0409828-6
PII: S 0002-9947(1976)0409828-6
Keywords: Extremal quasiconformal mapping
Article copyright: © Copyright 1976 American Mathematical Society