| Abstrakt: |
This article is the second and final part of my work published in the previous issue of the journal. The main result of the article is the statement that if the functions γ1 ∈ , ..., γm ∈ , where m 2, and the numbers p1, ..., pm ∈ (1, +∞] are such that + ... + < 1 and the nonresonance condition (the notion introduced in the previous article for functions from the spaces , p ∈ (1, +∞]) is satisfied, then , where [a, b] is an n-dimensional parallelepiped, the constant C > 0 is independent of the functions Δγk ∈ , and ⊂ , 1 k m, are some specially constructed normed spaces. In addition, a boundedness criterion for the integral of the product of functions over a subset of is given in terms of fulfillment of some nonresonance condition. [ABSTRACT FROM AUTHOR] |
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