2017
Том 69
№ 6

All Issues

On total moduli of continuity for $2\pi$-periodic functions of two variables in the space $L_{2,2}$

Vakarchuk M. B., Vakarchuk S. B.


Abstract

The description of the total moduli of continuity of $2\pi$ -periodic functions of two variables are obtained in the space $L_{2,2}$. The proposed description can be regarded as an extension of the famous results by O. V. Besov, S. B. Stechkin, V. A.Yudin on the moduli of continuity in $L_{2}$ in the two-dimensional case.

Citation Example: Vakarchuk M. B., Vakarchuk S. B. On total moduli of continuity for $2\pi$-periodic functions of two variables in the space $L_{2,2}$ // Ukr. Mat. Zh. - 2017. - 69, № 3. - pp. 300-310.