Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis

作者：Haroske Dorothee D^*; Piotrowska Iwona

来源：Mathematische Nachrichten, 2008, 281(10): 1476-1494.

DOI：10.1002/mana.200510690

• Weighted function spaces
• atomic decomposition
• Muckenhoupt weights
• d-sets

This paper deals with atomic decompositions in spaces of type B-p,q(s)(R-n, w), F-p,q(s)(R-n, w), 0 < p < infinity, 0 < q <= infinity, s epsilon R, where the weight function w belongs to some Muckenhoupt class A(r). In particular, we consider the weight function w(aleph)(Gamma)(x) = dist(x, Gamma)(aleph), where Gamma is some d-set, 0 < d < n, and aleph > -(n - d).

• 出版日期2008