# A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators

A. Perälä; J. A. Virtanen; L. Wolf

Concrete Operators (2013)

- Volume: 1, page 28-36
- ISSN: 2299-3282

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topA. Perälä, J. A. Virtanen, and L. Wolf. "A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators." Concrete Operators 1 (2013): 28-36. <http://eudml.org/doc/267452>.

@article{A2013,

abstract = {We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.},

author = {A. Perälä, J. A. Virtanen, L. Wolf},

journal = {Concrete Operators},

keywords = {Riemann-Hilbert problems; Hardy spaces; Toeplitz operators; Fredholm properties; eigenvalues},

language = {eng},

pages = {28-36},

title = {A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators},

url = {http://eudml.org/doc/267452},

volume = {1},

year = {2013},

}

TY - JOUR

AU - A. Perälä

AU - J. A. Virtanen

AU - L. Wolf

TI - A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators

JO - Concrete Operators

PY - 2013

VL - 1

SP - 28

EP - 36

AB - We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.

LA - eng

KW - Riemann-Hilbert problems; Hardy spaces; Toeplitz operators; Fredholm properties; eigenvalues

UR - http://eudml.org/doc/267452

ER -

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