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The necessity of the carathéodory conditions for the lower semicontinuity in measure of the multivalued nemytskii operator

✍ Scribed by Arcady V. Ponosov; Yurii V. Nepomnyashchikh

Book ID
104331057
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
518 KB
Volume
30
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Carathéodory–Julia type conditions and s
Carathéodory–Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk
✍ Vladimir Bolotnikov; Alexander Kheifets 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 248 KB

## Abstract It is shown that the following conditions are equivalent for the generalized Schur class functions at a boundary point __t__~0~ ∈ 𝕋: 1) Carathéodory–Julia type condition of order __n__; 2) agreeing of asymptotics of the original function from inside and of its continuation by reflection