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

• Datum: 2017
• Hauptverfasser: Vakarchuk, M. B., Vakarchuk, S. B., Вакарчук, М. Б., Вакарчук, С. Б.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1697
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 th...