Optimal Hölder and Lp estimates for ∂̄b on boundaries of convex domains of finite type

✍ Scribed by Heungju Ahn; Hong Rae Cho

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 222 KB
• Volume: 286
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1016/s0022-247x(03)00485-2

✦ Synopsis

We prove optimal Hölder and L p estimates for solutions of the tangential Cauchy-Riemann equation on the boundary of a bounded convex domain of finite type in C n using the integral kernel method.