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# The Haar wavelets and the Haar scaling function in weighted $L^p$ spaces with $A_p^{\dy ,m}$ weights

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 Title: The Haar wavelets and the Haar scaling function in weighted $L^p$ spaces with $A_p^{\dy ,m}$ weights Authors: Izuki, Mitsuo Browse this author Keywords: The Haar wavelets the Haar scaling function weighted Lp space Ady,mp weight greedy basis Issue Date: 2006 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 766 Start Page: 1 End Page: 25 Abstract: The new class of weights called $A_p^{\dy ,m}$ weights is introduced. We prove that a characterization and an unconditional basis of the weighted $L^p$ space $L^p(\R^n , w(x)dx)$ with $w \in A_p^{\dy ,m}$ \$(1 Hokkaido University Preprint Series in Mathematics