Topological and Functional Properties of Some F-Algebras of Holomorphic Functions
Let Np (1<p<∞) be the Privalov class of holomorphic functions on the open unit disk D in the complex plane. The space Np equipped with the topology given by the metric dp defined by dp(f,g)=(∫02π(log(1+|f∗(eiθ)-g∗(eiθ)|))p(dθ/2π))1/p, f,g∈Np, becomes an F-algebra. For each p>1, we also co...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/850709 |