Multiresolution and approximation and Hardy spaces

[摘要] In this paper we show that with the help of the Marcinkiewicz average of orthogonal projections on multiresolution approximation of L(p)(R(n)) for p less than or equal to 1 built by a box spline one can construct equivalent metric in Hardy spaces. To prove this equivalence we generalize Fefferman-Stein theorem for discrete choice of parameter t. It turns out that the Marcinkiewicz average of the Ciesielski-Durmeyer operator hits similar properties as orthogonal projection. (C) 1997 Academic Press.

[发布日期] 1997-02-01