ANALOG OF AN INEQUALITY OF BOHR FOR INTEGRALS OF FUNCTIONS FROM L p (R n) . I
Let p ∈ (2; +∞], n ≥ 1 and ∆ = (∆1, ... , ∆n), ∆K>0,1≤k≤n. It is proved that for functions Ɣ (t)∈Lp(Rn) spectrum of which is separated from each of n the coordinate hyperplanes on the distance not less than ∆K, 1≤k≤n respectively, the inequality is valid: ||Et∫Ɣ(Ƭ)d\Ƭ||L∞(Rn) Cn(q)[∏nk=1 1/∆1/qk]...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2014-10-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2501 |