The convergence classes for analytic functions in the Reinhardt domains
| Autor: | T. M. Salo, O. Yu. Tarnovecka |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 10, Iss 2, Pp 408-411 (2018) |
| ISSN: | 2313-0210 2075-9827 |
| Popis: | Let $L^0$ be the class of positive increasing on $[1,+\infty)$ functions $l$ such that $l((1+o(1))x)=(1+o(1))l(x)$ $(x\to +\infty)$. We assume that $\alpha$ is a concave function such that $\alpha(e^x)\in L^0$ and function $\beta\in L^0$ such that $\displaystyle\int_1^{+\infty}\frac{\alpha(x)}{\beta(x)}dx |
| Databáze: | OpenAIRE |
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