BMO Space and its relation with wavelet theory

Theory of Approximation and Applications

مقاله 3، دوره 6، شماره 2، اسفند 2012، صفحه 23-28   

نوع مقاله: Research Articles

نویسنده

M. Ghanbari^*

Department of Mathematics, Islamic Azad University, Farahan-Branch, Farahan, Iran.

چکیده

The aim of this paper is a) if Σa_k² < ∞ then Σa_k r_k(x) is in BMO that
{r_k(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.

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