Univalent Functions in the Möbius Invariant QK Space
It is shown that a univalent function f belongs to QK if and only if sup a∈𝔻∫01M∞2(r,f∘φa-f(a))K′(log (1/r))dr<∞, where φa(z)=(a-z)/(1-a¯z), provided K satisfies certain regularity conditions. It is also shown that under these conditions QK contains all univalent Bloch functions if and only if ∫0...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/259796 |
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