Constrained extremal problems in the Hardy space H2 and Carleman's formulas

Details Constrained extremal problems in the Hardy space H2 and Carleman's formulas Constrained extremal problems in the Hardy space H2 and Carleman's formulas

2009-11-07

arxiv.org/abs/0911.1441v1

Mathematics

Functional Analysis

Scientific paper

We study some approximation problems on a strict subset of the circle by analytic functions of the Hardy space H2 of the unit disk (in C), whose modulus satisfy a pointwise constraint on the complentary part of the circle. Existence and uniqueness results, as well as pointwise saturation of the constraint, are established. We also derive a critical point equation which gives rise to a dual formulation of the problem. We further compute directional derivatives for this functional as a computational means to approach the issue. We then consider a finite-dimensional polynomial version of the bounded extremal problem.

Affiliated with

Also associated with

No associations

Rating

Constrained extremal problems in the Hardy space H2 and Carleman's formulas 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 Constrained extremal problems in the Hardy space H2 and Carleman's formulas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constrained extremal problems in the Hardy space H2 and Carleman's formulas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699705