Conditions of integration of multiple trigonometric series

• Дата: 1992
• Автори: Zaderei, P. V., Задерей, П. В.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8103
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Sufficient conditions (the Boas-Telyakovskii conditions) on the coefficients of multiple trigonometric series are found that guarantee integrability of the sums of these series. Under these conditions, estimates are obtained for integrals of the moduli of the functions defined by multiple trigonomet...