Citation
A. Sikora et J. Wright, Imaginary powers of Laplace operators, P AM MATH S, 129(6), 2001, pp. 1745-1754
Citations number
23
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
129
Issue
6
Year of publication
2001
Pages
1745 - 1754
Database
ISI
SICI code
0002-9939(2001)129:6<1745:IPOLO>2.0.ZU;2-G
Abstract
how that if L is a second-order uniformly elliptic operator in divergence f
orm on R-d, then C-1(1+\alpha\)(d/2) less than or equal to parallel toL(i a
lpha)parallel to (L1--> L1,infinity) less than or equal to C-2(1+\alpha\)(d
/2). We also prove that the upper bounds remain true for any operator with
the finite speed propagation property.