Singular Integrals Associated to Hypersurfaces: L2 Theory

✍ Scribed by Stephen Wainger; James Wright; Sarah Ziesler

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 237 KB
• Volume: 167
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1999.3444

✦ Synopsis

We consider singular integrals associated to a classical Caldero n Zygmund kernel K and a hypersurface given by the graph of .( (t)) where . is an arbitrary C 1 function and is a smooth convex function of finite type. We give a characterization of those Caldero n Zygmund kernels K and convex functions so that the associated singular integral operator is bounded on L 2 for all C 1 functions ..