Compactness of products of Hankel operators on convex Reinhardt domains in C^2

Details Compactness of products of Hankel operators on convex Reinhardt domains in C^2 Compactness of products of Hankel operators on convex Reinhardt domains in C^2

2012-01-23

arxiv.org/abs/1201.4835v1

Mathematics

Complex Variables

13 pages

Scientific paper

Let D be a piecewise smooth bounded convex Reinhardt domain in C^2. Assume
that the symbols f and g are continuous on the closure of D and harmonic on the
disks in the boundary of D. We show that if the product of Hankel operators
H^*_f H_g is compact on the Bergman space of D, then on any disk in the
boundary of D, either f or g is holomorphic.

Affiliated with

Also associated with

No associations

Rating

Compactness of products of Hankel operators on convex Reinhardt domains in C^2 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 Compactness of products of Hankel operators on convex Reinhardt domains in C^2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compactness of products of Hankel operators on convex Reinhardt domains in C^2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498484