Estimates in corona theorems for some subalgebras of $H^\infty$

Details Estimates in corona theorems for some subalgebras of $H^\infty$ Estimates in corona theorems for some subalgebras of $H^\infty$

2007-02-26

arxiv.org/abs/math/0702754v1

Ark. Mat. 45 (2007), no. 2, 351--380

Mathematics

Classical Analysis and ODEs

24 pages, 1 postscript figure. A preliminary version of this paper is available as LSE report LSE-CDAM-2006-09, see http://w

Scientific paper

10.1007/s11512-007-0044-y

We obtain estimates in the corona theorem for the algebra of analytic functions in the unit disc whose nth derivative is bounded, and its subalgebras defined by the boundary continuity of the nth derivative. The corona theorem for such algebras is trivial and known, but corona theorem with estimates is new and much harder to prove. As an auxiliary result of independent interest we get the continuity of the best estimate in such algebras (including the classical case of the algebra $H^\infty$ of bounded analytic functions). We also show that for a fixed $n$ the best estimate is the same for all algebras we consider.

Affiliated with

Also associated with

No associations

Rating

Estimates in corona theorems for some subalgebras of $H^\infty$ 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 Estimates in corona theorems for some subalgebras of $H^\infty$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimates in corona theorems for some subalgebras of $H^\infty$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131677