The extension problem for Sobolev spaces on the Heisenberg group

Duy-Minh Nhieu, Purdue University

Abstract

We prove that if a domain $\Omega$ on the Heisenberg group $\IH\sp{n}$ satisfies the $(\epsilon ,\delta)$ condition then there is a linear bounded extension operator ${\cal E}$ from ${\cal L}\sp{k,p}(\Omega )$ into ${\cal L}\sp{k,p}(\IH\sp{n})$ where $1\le k,\ 1\le p\le\infty$.

Degree

Ph.D.

Advisors

Garofalo, Purdue University.

Subject Area

Mathematics

COinS