85171 driver artpubuab oai:ddd.uab.cat:85171 articleid 02141493v56n1p191 doi 10.5565/PUBLMAT_56112_07 eng Hartmann, Andreas Bundary values in range spaces of co-analytic truncated toeplitz operators Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function de ning 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. Article de fons Continuation Model spaces Toeplitz operators Truncated Toeplitz operators info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Ross, William T. Vol. 56, Núm. 1 ( 2012), p. 191-223 Publicacions matemàtiques 0214-1493 33 421019 http://ddd.uab.cat/uab/pubmat/02141493v56n1/pubmat_a2012v56n1p191.pdf 0191 223 1 56 02141493v56n1 2012 ARTPUB UAB PUBMAT Tots els drets reservats http://www.europeana.eu/rights/rr-f/