A common range problem for model spaces-Reference-Cited by-同舟云学术

A common range problem for model spaces

Published:2021-06-30 Issue:4 Volume:33 Page:987-996
ISSN:1435-5337
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Mashreghi Javad¹^ORCID,Ptak Marek²^ORCID,Ross William T.³^ORCID

Affiliation:

1. Département de mathématiques et de statistique , Université Laval , Québec , QC, G1K 0A6 , Canada

2. Department of Applied Mathematics , University of Agriculture , ul. Balicka 253c, 30-198 Kraków , Poland

3. Department of Mathematics and Computer Science , University of Richmond , Richmond , VA 23173 , USA

Abstract

Abstract We refine a result of [J. E. McCarthy, Common range of co-analytic Toeplitz operators, J. Amer. Math. Soc. 3 1990, 4, 793–799] and explore the common range of the co-analytic Toeplitz operators on a model space. The tools used to do this also yield information about when one can interpolate with an outer function.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2021-0092/pdf

Reference13 articles.

1. L. Carleson, An interpolation problem for bounded analytic functions, Amer. J. Math. 80 (1958), 921–930.

2. B. M. Davis and J. E. McCarthy, Multipliers of de Branges spaces, Michigan Math. J. 38 (1991), no. 2, 225–240.

3. R. G. Douglas, On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc. 17 (1966), 413–415.

4. P. L. Duren, Theory of Hp{H^{p}} Spaces, Academic Press, New York, 1970.

5. K. Dyakonov and D. Khavinson, Smooth functions in star-invariant subspaces, Recent Advances in Operator-Related Function Theory, Contemp. Math. 393, American Mathematical Society, Providence (2006), 59–66.