Multiwavelets as unconditional bases in L~p(1<p<∞)
Yali Pan · Journal of Northwest Normal University · 2013
Orthonormal wavelet basis is an important issue in wavelet and has an important application on image processing and compression,signal denoising etc.The orthonormal wavelet basis for L2(R2) can be formulated by MRA.In this paper,an operator Tω is defined,which is uniformly in ω of week type(1,1).By this result and Marcinkiewicz interpolation theorem,it is proved that the wavelet bases are unconditional bases in Lp(R2),where the wavelets with some weak sufficient decay properties.Some inequalities of the orthonormal projection Pj and the complementary orthonormal projection Qj restricted to the operator Tω are discussed.