Analysis seminar
Speaker: Tanuj Gupta, Guru Gobind Singh Indraprastha University
Host: Prachi Mahajan
Title: DF index and global regularity of the complex Green operator
Time, day and date: 11:30:00 AM – 12:30:00 PM, Wednesday, May 06
Venue: Online (https://meet.google.com/sbt-yseg-pgn)
Abstract: Let $\Omega\subset\mathbb{C}^n$, with $n \geq 3$, be a smooth bounded pseudoconvex domain satisfying the symmetric eigenvalue comparability condition $D(q_0)$ for some $1\leq q_0 \leq n-2$. We show that if the DF-index of $\Omega$ is one, then the complex Green operator $G_q$, associated with $\Omega$, is globally regular for $q$ in the range $\min\{q_0,\, n - 1 - q_0\} \leq q \leq \max\{q_0,\, n - 1 - q_0\}$.