Supplement to Hölder’s inequality. II
Boris F. Ivanov · Vestnik St Petersburg University Mathematics · 2017
Suppose that m ≥ 2, numbers p 1, …, p m ∈ (1, +∞] satisfy the inequality $$\frac{1}{{{p_1}}} + \cdots + \frac{1}{{{p_m}}} 0 is independent of the functions $$\Delta {\gamma _k} \in L_{ak}^{pk}\left( {{ℝ^1}} \right)$$ and $$L_{ak}^{pk}\left( {{ℝ^1}} \right) \subset {L^{pk}}\left( {{ℝ^1}} \right)$$ , 1 ≤ k ≤ m, are special normed spaces. A condition for the integral over ℝ1 of a product of functions to be bounded is also given.