SINGULAR INTEGRAL-OPERATORS ON C1 MANIFOLDS

Authors
LEWIS JE SELVAGGI R SISTO I
Citation
Je. Lewis et al., SINGULAR INTEGRAL-OPERATORS ON C1 MANIFOLDS, Transactions of the American Mathematical Society, 340(1), 1993, pp. 293-308
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
340
Issue
1
Year of publication
1993
Pages
293 - 308
Database
ISI
SICI code
0002-9947(1993)340:1<293:SIOCM>2.0.ZU;2-U
Abstract
We show that the kernel of a singular integral operator is real analyt ic in R(n)\{0} iff the symbol [Fourier transform] is real analytic in R(n)\{0}. The singular integral operators with continuous coefficients and real analytic kernels (symbols) form an operator algebra with the usual symbolic calculus. The symbol is invariantly defined under C1 c hanges of coordinates.