Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 37, 2012, 467-478

BAD BOUNDARY BEHAVIOR IN STAR INVARIANT SUBSPACES II

Andreas Hartmann and William T. Ross

Université de Bordeaux, Institut de Mathématiques de Bordeaux
351 cours de la Libération, 33405 Talence, France; hartmann 'at' math.u-bordeaux.fr

University of Richmond, Department of Mathematics and Computer Science
212 Jepson Hall, 28 Westhampton Way, VA 23173, U.S.A.; wross 'at' richmond.edu

Abstract. We continue our study begun in [HR11] concerning the radial growth of functions in the model spaces (IH²)^\perp.

2010 Mathematics Subject Classification: Primary 30J10, 30A12, 30A08.

Key words: Hardy spaces, star invariant subspaces, non-tangential limits, inner functions, unconditional sequences, generalized Carleson condition.

Reference to this article: A. Hartmann and W.T. Ross: Bad boundary behavior in star invariant subspaces II. Ann. Acad. Sci. Fenn. Math. 37 (2012), 467-478.

Full document as PDF file

doi:10.5186/aasfm.2012.3744

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