Document Type
Article
Subject Area(s)
Mathematics
Abstract
We investigate Besov spaces and their connection with dyadic spline approximation in Lp(Omega), 0 < p (less than or equal to) infinity. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.
Publication Info
Transactions of the American Mathematical Society, Volume 305, Issue 1, 1988, pages 397-414.
Rights
© 1988 by American Mathematical Society