ON SOME ADDITION TO THE HÖLDER INEQUALITY. I
Let m ;: 2, numbers p1,..., pm ∈ (1, +∞] satisfy inequality1 1+... +p1 pm 0 is independent on functions ∆γk ∈ Lpk (R1) and Lpk (R1) ⊂ Lpk (R1), 1 k mak akare specially constructed normed spaces.Besides, we give a condition of integral boundedness from the product of functions when integrating over a subset of R1. Refs 12.