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Definition and Properties of the Libera Operator on Mixed Norm Spaces
We consider the action of the operator ℒg(z) = (1 − z)(−1)∫(z) (1)f(ζ)dζ on a class of “mixed norm” spaces of analytic functions on the unit disk, X = H (α,ν) (p,q), defined by the requirement g ∈ X⇔r ↦ (1 − r)(α) M (p)(r, g ((ν))) ∈ L (q)([0,1], dr/(1 − r)), where 1 ≤ p ≤ ∞, 0 < q ≤ ∞, α > 0...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2014
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3950998/ https://www.ncbi.nlm.nih.gov/pubmed/24707211 http://dx.doi.org/10.1155/2014/590656 |