On the unconditional almost-everywhere convergence of general orthogonal series

  • V. A. Mikhailets
  • A. A. Murach

Abstract

The Orlicz and Tandori theorems on the unconditional almost-everywhere convergence, with respect to Lebesgue measure, of real orthogonal series defined on the interval (0; 1) are extended to general complex orthogonal series defined on an arbitrary measure space.
Published
25.10.2011
How to Cite
Mikhailets, V. A., and A. A. Murach. “On the Unconditional Almost-Everywhere Convergence of General Orthogonal Series”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 10, Oct. 2011, pp. 1360-7, https://umj.imath.kiev.ua/index.php/umj/article/view/2812.
Section
Research articles