Joseph D. Lakey

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In this paper we construct IR n-valued biorthogonal, compactly supported multiwavelet families such that one of the biorthogo-nal pairs consists of divergence-free vector wavelets. The construction is based largely on Lemari e's idea of multiresolution analyses intertwined by diierentiation. We show that this technique extends nontrivially to multiwavelets(More)
The Hardy space H 1 ρr (R n) consists of all divergence free r-form distributions f whose non-tangential maximal functions are in L 1 (R n). We say that a system of singular integrals characterizes H 1 ρr (R n) if this space consists precisely of those divergence-free r-form distributions f whose images under the singular integral operators are integrable.(More)