THE DUAL OF BESOV-SPACES ON FRACTALS

Authors
JONSSON A WALLIN H
Citation
A. Jonsson et H. Wallin, THE DUAL OF BESOV-SPACES ON FRACTALS, Studia Mathematica, 112(3), 1995, pp. 285-300
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
112
Issue
3
Year of publication
1995
Pages
285 - 300
Database
ISI
SICI code
0039-3223(1995)112:3<285:TDOBOF>2.0.ZU;2-A
Abstract
For certain classes of fractal subsets F of R(n), the Besov spaces B(a lpha)p,q(F) have been studied for alpha > 0 and 1 less-than-or-equal-t o p,q less-than-or-equal-to infinity. In this paper the Besov spaces B (alpha)p,q(F) are introduced for alpha < 0, and it is shown that the d ual of B(alpha)p,q(F) is B-alpha(p',q')(F), alpha not-equal 0, 1 < p,q < infinity, where 1/p + 1/p' = 1, 1/q + 1/q' = 1.