Citation
By. Wu et Wy. Su, The Hilbert transform along the extended evil ladder curve, CHIN SCI B, 44(1), 1999, pp. 49-53
Citations number
4
Categorie Soggetti
Multidisciplinary
Journal title
CHINESE SCIENCE BULLETIN
ISSN journal
10016538
→ ACNP
Volume
44
Issue
1
Year of publication
1999
Pages
49 - 53
Database
ISI
SICI code
1001-6538(199901)44:1<49:THTATE>2.0.ZU;2-8
Abstract
Let (y) over tilde(t) be an even function extended by the evil ladder (tri-
adic Cantor function) y (t). Denote the curve Gamma(t)= (t, (y) over tilde(
t)) ( - 1 less than or equal to t less than or equal to 1). It is shown tha
t the Hilbert transform along this curve Gamma is bounded on L-2(R-2).