Norm estimates and representations for Calderon-Zygmund operators using averages over starlike sets

Authors
Watson, DK Wheeden, RL
Citation
Dk. Watson et Rl. Wheeden, Norm estimates and representations for Calderon-Zygmund operators using averages over starlike sets, T AM MATH S, 351(10), 1999, pp. 4127-4171
Citations number
26
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
10
Year of publication
1999
Pages
4127 - 4171
Database
ISI
SICI code
0002-9947(199910)351:10<4127:NEARFC>2.0.ZU;2-V
Abstract
We show that homogeneous singular integrals may be represented in terms of averages over starlike sets. This permits us to use the geometry of starlik e sets to derive operator-specific weighted norm inequalities.