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

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Perälä A., Virtanen J. A., Wolf L.

Concrete Operators

2013

tom 1

28-36

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.

Ograniczanie wyników

1 Concrete Operators

1 Perälä A.

1 Virtanen J. A.

1 Wolf L.

1 2013

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