Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

PDF

University of Richmond

Mathematics

Department of Math & Statistics Faculty Publications

Hardy spaces

Publication Year

Articles 1 - 4 of 4

Full-Text Articles in Entire DC Network

Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross Jan 2018

Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross

Department of Math & Statistics Faculty Publications

In this paper we examine the multipliers from one model space to another.


The Range And Valence Of A Real Smirnov Function, Timothy Ferguson, William T. Ross Jan 2018

The Range And Valence Of A Real Smirnov Function, Timothy Ferguson, William T. Ross

Department of Math & Statistics Faculty Publications

We give a complete description of the possible ranges of real Smirnov functions (quotients of two bounded analytic functions on the open unit disk where the denominator is outer and such that the radial boundary values are real almost everywhere on the unit circle). Our techniques use the theory of unbounded symmetric Toeplitz operators, some general theory of unbounded symmetric operators, classical Hardy spaces, and an application of the uniformization theorem. In addition, we completely characterize the possible valences for these real Smirnov functions when the valence is finite. To do so we construct Riemann surfaces we call disk trees …


Multipliers Of Sequence Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross Jan 2017

Multipliers Of Sequence Spaces, Raymond Cheng, Javad Mashreghi, William T. Ross

Department of Math & Statistics Faculty Publications

This paper is selective survey on the space lAp and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality.


Bad Boundary Behavior In Star Invariant Subspaces Ii, William T. Ross, Andreas Hartmann Jan 2012

Bad Boundary Behavior In Star Invariant Subspaces Ii, William T. Ross, Andreas Hartmann

Department of Math & Statistics Faculty Publications

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