Smooth analytic functions and model subspaces
Complex Variables
2019-09-04 v3 Functional Analysis
Abstract
The main themes of this survey are as follows: (a) the canonical (Riesz--Nevanlinna) factorization in various classes of analytic functions on the disk that are smooth up to its boundary, and (b) model subspaces (i.e., invariant subspaces of the backward shift) in the Hardy spaces and in BMOA. It is the interrelationship and a peculiar cross-fertilization between the two topics that we wish to highlight.
Cite
@article{arxiv.1603.08166,
title = {Smooth analytic functions and model subspaces},
author = {Konstantin M. Dyakonov},
journal= {arXiv preprint arXiv:1603.08166},
year = {2019}
}
Comments
24 pages; to appear in Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2). Celebrating Cora Sadosky's Life. Editors: S. Marcantognini, M. C. Pereyra, A. Stokolos and W. Urbina. AWM-Springer Series, Springer (2017)