Best approximation of reproducing kernels of spaces of analytic functions

• Дата: 2004
• Автори: Savchuk, V. V., Савчук, В. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3811
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain exact values for the best approximation of a reproducing kernel of a system of p-Faber polynomials by functions of the Hardy space H q, p -1 + q -1 = 1 and a Szegö reproducing kernel of the space E 2(Ω) in a simply connected domain Ω with rectifiable boundary.