Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach

Details Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach

2006-09-28

arxiv.org/abs/math/0609804v1

Far East J. Appl. Math. 15 (2004), no. 3, 353--363

Mathematics

Analysis of PDEs

11 pp

Scientific paper

In an interesting note, E.M. Stein observed some 20 years ago that while the Kohn Laplacian $\square_b$ on functions is neither locally solvable nor (analytic) hypoelliptic, the addition of a non-zero complex constant reversed these conclusions at least on the Heisenberg group, and Kwon reproved and generalized this result using the method of concatenations. Recently Hanges and Cordaro have studied this situation on the Heisenberg group in detail. Here we give a purely $L^2$ proof of Stein's result using the author's now classical construction of $(T^p)_\phi = \phi T^p +...,$ where $T$ is the 'missing direction' on the Heisenberg group.

Affiliated with

Also associated with

No associations

Rating

Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic hypoellipticity for $\square_b + c$ on the Heisenberg group: an $L^2$ approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532313