Obstructions to uniform estimates for solutions to the d-bar equation

Details Obstructions to uniform estimates for solutions to the d-bar equation Obstructions to uniform estimates for solutions to the d-bar equation

2009-03-23

arxiv.org/abs/0903.3908v2

Mathematics

Complex Variables

This preprint has been withdrawn by the author because the estimate (2.3) does not follow from the formula preceding it

Scientific paper

We show that if, for every bounded d-bar-closed (0,1)-form f, a pseudoconvex domain \Omega admits a solution to $\bar\partial u=f$ that is continuous up to the boundary and has uniform estimates in terms of $\|f\|_\infty$, then each p\in bdy(\Omega) must necessarily admit a peak function in the class $A(\Omega):=\mathcal{O}(\Omega)\cap\mathcal{C}(\overline\OM)$. We use this fact to examine some geometrical obstructions to uniform estimates for the d-bar equation.

Affiliated with

Also associated with

No associations

Rating

Obstructions to uniform estimates for solutions to the d-bar equation 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 Obstructions to uniform estimates for solutions to the d-bar equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Obstructions to uniform estimates for solutions to the d-bar equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-347647