Convergence and Characterization of Wavelets Associated with Dilation Matrix in Variable Lp Spaces

الملخص EN

We study the convergence of wavelet expansions associated with dilation matrix in the variable Lp(·)(ℝd) spaces using the approximate identity.

Also, we obtain conditions for the wavelet characterizations of Lp(·)(ℝd) with respect to norm estimates.

Moreover, the results of Izuki (2008) and Kumar (2009) have been extended.