Boundary values in range spaces of co-analytic truncated Toeplitz operators

Details Boundary values in range spaces of co-analytic truncated Toeplitz operators Boundary values in range spaces of co-analytic truncated Toeplitz operators

2010-12-18

arxiv.org/abs/1012.4077v1

Mathematics

Complex Variables

Scientific paper

Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function, Ahern and Clark showed that under some distribution condition on the zeros and the singular measure of the inner function, it is possible to obtain non-tangential boundary values of every function in the backward shift invariant subspace as well as for their derivatives up to a certain order. Here we will investigate, at least when the inner function is a Blaschke product, the non-tangential boundary values of the functions of the backward shift invariant subspace after having applied a co-analytic (truncated) Toeplitz operator. There appears to be a smoothing effect.

Affiliated with

Also associated with

No associations

Rating

Boundary values in range spaces of co-analytic truncated Toeplitz operators 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 Boundary values in range spaces of co-analytic truncated Toeplitz operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary values in range spaces of co-analytic truncated Toeplitz operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-157014