Title of article :
BMO Space and its relation with wavelet theory
Author/Authors :
Ghanbari, M. Department of Mathematics - Farahan-Branch - Islamic Azad University, Farahan, Iran
Abstract :
The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that {rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1 that f!n(x)g is Walsh system. c) If jakj < 1 k then P1k=1 ak!k(x) 2 BMO.
Keywords :
BMO space , wavelets , Orthonormal system , Rademacher system , Walsh system , Haar system
Journal title :
نظريه تقريب و كاربردهاي آن
