ANALOG OF AN INEQUALITY OF BOHR FOR INTEGRALS OF FUNCTIONS FROM L p (Rn)
Let p ∈ (2, +∞], n ≥ 1 and ∆ = (∆1, . . . , ∆n), ∆k > 0, 1 ≤ k ≤ n. It is proved that for functions γ(t) ∈ L p (R n ) 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 γ(τ ) dτ L∞(Rn) ≤...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2014-11-01
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| Series: | Проблемы анализа |
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| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2569&lang=en |