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Module of Annulus

Published online by Cambridge University Press:  22 January 2016

Tohru Akaza
Affiliation:
Kanazawa University and Nagoya University
Tadashi Kuroda
Affiliation:
Kanazawa University and Nagoya University
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Let C and C′ be two simple closed curves in the complex z-plane which have no point in common and surround the origin. Denote by D the annulus bounded by C and C′. Consider a family {γ} of rectifiable curves γ in D and the family P of all non-negative lower semi-continuous functions ρ = ρ(z) in D. Put

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1961