Mean oscillations and the convergence of Poisson integrals

• Дата: 1997
• Автори: Kolyada, V. I., Коляда, В. И.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1997
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4998
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for mean oscillations of a periodic summable function under which the summability of its Fourier series (conjugate series) by the Abel-Poisson method at a given point implies the convergence of Steklov means (the existence of the conjugate function) at the indicated point. Si...