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Some eigenvalue estimates for wavelet related Toeplitz operators

100%

Nowak K.

Colloquium Mathematicum

1993

tom 65

nr 1

149-156

By a straightforward computation we obtain eigenvalue estimates for Toeplitz operators related to the two standard reproducing formulas of the wavelet theory. Our result extends the estimates for Calderón-Toeplitz operators obtained by Rochberg in [R2]. In the first section we recall two standard reproducing formulas of the wavelet theory, we define Toeplitz operators and discuss some of their properties. The second section contains precise statements of our results and their proofs. At the end of the second section we include some comments about the range of applicability of our estimates.

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

88%

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.

A natural localization of Hardy spaces in several complex variables

88%

Putinar M., Wolff R.

Annales Polonici Mathematici

1997

tom 66

nr 1

183-201

Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in $ℂ^n$. The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop's property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Concrete Operators

1 Nowak K.

1 Perälä A.

1 Putinar M.

1 Virtanen J. A.

1 Wolf L.

1 Wolff R.

1 2013

1 1997

1 1993

Wyniki wyszukiwania

Some eigenvalue estimates for wavelet related Toeplitz operators

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

A natural localization of Hardy spaces in several complex variables