NONUNIFORM WAVELET PACKET BASES FOR THE SPACES L^p(R) AND H^1(R)

In this paper, we prove the results on the existence of unconditional nonuniform wavelet packet bases for the spaces L^p(R); 1 p 1 and H^1(R) based on the approach similar to that of Meyer and Coifman. Certain results are obtained in this direction by assuming only that the nonuniform wavelet packets wn and its derivatives w _n have a common radial decreasing L^1–majorant function.