No abstract

No abstract

No abstract

In this paper, a Littlewood-Paley function characterization of the spaces ( ), 1 ,is first established by means of the equivalent conditions of tight wavelet frames, wherein the Littlewood-Paley function is associated with a tight wavelet frame generated by the so-called extension principles. With the above characterization, another characterization of ( ), 1 , p L p ∞ R ∧ ∧ is also established in terms of the weighted 2 l -norm of the wavelet frame coefficients, which can be a useful tool in harmonic analysis, approximation theory, and image processing.

No abstract