Suppose E is a subset of the unit circle T and H∞C L∞ is the Hardy subalgebra. We examine the problem of Finding the distance from the characteristic function of E to zn H∞. This admits an alternate description as a dual extremal problem. Precise solutions are given in several important cases. The techniques used involve the theory of Toeplitz and Hankel operators as well as the construction of certain conformal mappings
In this thesis, we consider a selection of extremal problems which arise in mathematical analysis. T...
Minimum area Here we present solutions and partial solutions to some extremal problems in the class ...
Abstract: We formulate and solve some geometric extremal problems involving extremal distance and ha...
Suppose E is a subset of the unit circle T and Hinfinity C Linfinity is the Hardy subalgebra. We exa...
Abstract. Suppose E is a subset of the unit circle T and H ∞ ⊂ L ∞ is the Hardy subalgebra. We exam...
We relate some classical extremal problems on the Hardy space to norms of truncated Toeplitz operato...
For a non-zero function f in H1 , the classical Hardy space on the unit circle, put S11111 = {g E H1...
For $0<p \leq \infty$, let $H^p$ denote the classical Hardy space of the unit disc. We consider the ...
International audienceWe consider the extremal problem of best approximation to some function $f$ i...
International audienceWe show the equivalence of two extremal problems on Hardy spaces, thus answeri...
In this thesis, we consider linear extremal problems in the Hp spaces. For many of these extremal pr...
The sharp estimates of the product of the inner radius for pairwise disjoint domains are obtained. ...
This Article is brought to you for free and open access by the Mathematics at UKnowledge. It has bee...
We deal with extremal problems in Bergman spaces. If A^p denotes the Bergman space, then for any giv...
summary:Let $S$ denote the class of functions $f(z) = z + a_2z^2 + a_3z^3 + \ldots$ univalent and ho...
In this thesis, we consider a selection of extremal problems which arise in mathematical analysis. T...
Minimum area Here we present solutions and partial solutions to some extremal problems in the class ...
Abstract: We formulate and solve some geometric extremal problems involving extremal distance and ha...
Suppose E is a subset of the unit circle T and Hinfinity C Linfinity is the Hardy subalgebra. We exa...
Abstract. Suppose E is a subset of the unit circle T and H ∞ ⊂ L ∞ is the Hardy subalgebra. We exam...
We relate some classical extremal problems on the Hardy space to norms of truncated Toeplitz operato...
For a non-zero function f in H1 , the classical Hardy space on the unit circle, put S11111 = {g E H1...
For $0<p \leq \infty$, let $H^p$ denote the classical Hardy space of the unit disc. We consider the ...
International audienceWe consider the extremal problem of best approximation to some function $f$ i...
International audienceWe show the equivalence of two extremal problems on Hardy spaces, thus answeri...
In this thesis, we consider linear extremal problems in the Hp spaces. For many of these extremal pr...
The sharp estimates of the product of the inner radius for pairwise disjoint domains are obtained. ...
This Article is brought to you for free and open access by the Mathematics at UKnowledge. It has bee...
We deal with extremal problems in Bergman spaces. If A^p denotes the Bergman space, then for any giv...
summary:Let $S$ denote the class of functions $f(z) = z + a_2z^2 + a_3z^3 + \ldots$ univalent and ho...
In this thesis, we consider a selection of extremal problems which arise in mathematical analysis. T...
Minimum area Here we present solutions and partial solutions to some extremal problems in the class ...
Abstract: We formulate and solve some geometric extremal problems involving extremal distance and ha...