Abstract
Hölder classes of variable order μ(x) are introduced and it is shown that the fractional integral has Hölder order μ(x) + α (0 < α, μ
+, α + μ
+ < 1, μ
+ = sup μ(x)).
The sequences of the translation invariant by the both arguments, continuous bilinear operators $T_n\colon L_1 \times L_1 \rightarrow L_0$ has been considered. The improvement of the smoothness of the functions belonging to the Lipschitz-Holder classes has been established.
Λ-Summability and Multiplicators of Holder Classes of Fourierseries with Respect ¨ to Character Systems
