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MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in this paper to prove other results, which should not continue.

Level sets of infinite length.

George Piranian, Allen Weitsman (1978)

Commentarii mathematici Helvetici

Level sets of univalent functions.

W.K. Hayman, J.-M.G. Wu (1981)

Commentarii mathematici Helvetici

Libera and Hilbert matrix operator on logarithmically weighted Bergman, Bloch and Hardy-Bloch spaces

Boban Karapetrović (2018)

Czechoslovak Mathematical Journal

We show that if $α > 1$ , then the logarithmically weighted Bergman space $A_{{log}^{α}}^{2}$ is mapped by the Libera operator $ℒ$ into the space $A_{{log}^{α - 1}}^{2}$ , while if $α > 2$ and $0 < ε \leq α - 2$ , then the Hilbert matrix operator $H$ maps $A_{{log}^{α}}^{2}$ into $A_{{log}^{α - 2 - ε}}^{2}$ .We show that the Libera operator $ℒ$ maps the logarithmically weighted Bloch space $ℬ_{{log}^{α}}$ , $α \in ℝ$ , into itself, while $H$ maps $ℬ_{{log}^{α}}$ into $ℬ_{{log}^{α + 1}}$ .In Pavlović’s paper (2016) it is shown that $ℒ$ maps the logarithmically weighted Hardy-Bloch space $ℬ_{{log}^{α}}^{1}$ , $α > 0$ , into $ℬ_{{log}^{α - 1}}^{1}$ . We show that this result is sharp. We also show that $H$ maps $ℬ_{{log}^{α}}^{1}$ , $α \geq 0$ , into $ℬ_{{log}^{α - 1}}^{1}$ and...

Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations

Rubén A. Hidalgo (2011)

Fundamenta Mathematicae

Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S is a closed...

Lifting Möbius groups.

Button, J. O. (2002)

The New York Journal of Mathematics [electronic only]

Lifting Möbius groups: Addendum.

Button, J. O. (2002)

The New York Journal of Mathematics [electronic only]

Lifting properties, Nehari theorem and Paley lacunary inequality.

Mischa Cotlar, Cora Sadosky (1986)

Revista Matemática Iberoamericana

A general notion of lifting properties for families of sesquilinear forms is formulated. These lifting properties, which appear as particular cases in many classical interpolation problems, are studied for the Toeplitz kernels in Z, and applied for refining and extending the Nehari theorem and the Paley lacunary inequality.

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Les inégalités du type de Grunsky pour les fonctions de la classe K

Les séries de Taylor et la représentation exponentielle

Les suites de polynômes et la représentation conforme

Les zéros entiers des fonctions entières de type exponentiel.

Letter to the editor.

Letter to the editor.

Letter to the Editor. Remarks on Some Inequalities for Polynomials

Level sets of infinite length.

Level sets of univalent functions.

Libera and Hilbert matrix operator on logarithmically weighted Bergman, Bloch and Hardy-Bloch spaces

Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations

Lifting Möbius groups.

Lifting Möbius groups: Addendum.

Lifting properties, Nehari theorem and Paley lacunary inequality.

Limit functions in wandering domains of meromorphic functions.

Limit points of lines of minima in Thurston's boundary of Teichmüller space.

Limit sets of free convergence groups.

Limit sets of Kleinian groups and conformally flat Riemannian manifolds.

Limitation des coefficients dans une famille de fonctions holomorphes dans le cercle |z| < 1

Limits of geometrically tame Kleinian groups.

Currently displaying 41 – 60 of 118