On Riemann type integral of functions with values in a certain Fréchet space (Q1076940)
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scientific article; zbMATH DE number 3955735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Riemann type integral of functions with values in a certain Fréchet space |
scientific article; zbMATH DE number 3955735 |
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On Riemann type integral of functions with values in a certain Fréchet space (English)
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1985
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Motivated by needs of the theory of symmetric \(\alpha\)-stable processes the author introduces and proves the Riemann type integrability of functions with values in a Fréchet space with a given quasi-norm. The class of functions considered is the class of Hölder continuous functions with exponent \(\gamma >1-\alpha\). The integrability of these functions is expressed in terms of the exponent \(\gamma\) and the Hölder constant.
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symmetric \(\alpha \) -stable processes
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Riemann type integrability of functions with values in a
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Fréchet space with a given quasi-norm
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class of Hölder continuous functions
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Riemann type integrability of functions with values in a Fréchet space with a given quasi-norm
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0.9115818
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0.9044932
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0.90413487
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0.9005626
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0.8977996
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0.89622706
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