BMO Space and its relation with wavelet theory
محورهای موضوعی : Applied Mathematics
M. Ghanbari
1
(Department of Mathematics, Islamic Azad University, Farahan-Branch, Farahan, Iran.)
کلید واژه: BMO space, wavelets, Orthonormal system, Rademacher system, Walsh system, Haar system,
چکیده مقاله :
The aim of this paper is a) if Σak2< ∞then Σak rk(x) is inBMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.
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+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.
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