Banach spaces of universal Taylor series in the disc algebra (Q515957)
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scientific article; zbMATH DE number 6695888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Banach spaces of universal Taylor series in the disc algebra |
scientific article; zbMATH DE number 6695888 |
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Banach spaces of universal Taylor series in the disc algebra (English)
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17 March 2017
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The content of the paper is best described by its abstract: ``It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies that, for many small subsets \(E\) of the unit circle \(\mathbb T\), the restrictions to \(\mathbb T\) of the partial sums of its Taylor series at the origin approximate any prescribed function on \(E\). Moreover, it is shown that such sets necessarily have to be small in terms of porosity.''
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disk algebra
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universal Taylor series
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Rogosinski summability
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universal functions
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convergence of Fourier series
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