The convergence of wavelet expansion with divergence-free properties in vector-valued Besov spaces

Using the biorthogonal B-spline wavelets, we investigate the convergence property of wavelets expansion in the related vector-valued Besov spaces. Especially, divergence-free and non divergence-free wavelets are added and discussed. As a by-product, characterization of relevant Besov spaces is given as well. It is noted that the key point for characterization is to prove the convergence of projection operators in relevant Besov spaces. Besides, we can get convergence and characterization at the same time.