Analytic structure on locally compact spaces determined by algebras of continuous functions
Applications of Functional Analysis to the Solution of Power Series Equations.
Automatic continuity in algebras of differentiable functions.
Banach space properties of strongly tight uniform algebras
We use the work of J. Bourgain to show that some uniform algebras of analytic functions have certain Banach space properties. If X is a Banach space, we say X is strongif X and X* have the Dunford-Pettis property, X has the Pełczyński property, and X* is weakly sequentially complete. Bourgain has shown that the ball-algebras and the polydisk-algebras are strong Banach spaces. Using Bourgain’s methods, Cima and Timoney have shown that if K is a compact planar set and A is R(K) or A(K), then A and...
Bases in the space of entire Dirichlet funtions of two complex variables.
Basis in the big disk algebra and in the corresponding Hardy-space.
Best Approximation In Vector Valued Function Spaces.
Blaschke inductive limits of uniform algebras.
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols.
Boundary values of vector-valued harmonic functions considered as operators
Bounded derivations on commutative semigroups.
Bounded projections, duality, and multipliers in spaces of harmonic functions.
Calcul symbolique sur la frontière de Silov de certaines algèbres de fonctions holomorphes
On démontre un résultat de dichotomie pour les fonctions qui opèrent sur les restrictions d’algèbres de fonctions holomorphes de plusieurs variables. On obtient ce résultat après étude de la séparation par des fonctions holomorphes de compacts sur certaines hypersurfaces de .
Category theorems for certain Banach spaces of analytic functions.
Charakterisierungen einiger Funktionenalgebren.
Closed ideals with countable hull in algebras of analytic functions smooth up to the boundary.
Common zero sets of equivalent singular inner functions
Let μ and λ be bounded positive singular measures on the unit circle such that μ ⊥ λ. It is proved that there exist positive measures μ₀ and λ₀ such that μ₀ ∼ μ, λ₀ ∼ λ, and , where is the associated singular inner function of μ. Let be the common zeros of equivalent singular inner functions of . Then (μ) ≠ ∅ and (μ) ∩ (λ) = ∅. It follows that μ ≪ λ if and only if (μ) ⊂ (λ). Hence (μ) is the set in the maximal ideal space of which relates naturally to the set of measures equivalent to μ....
Common zero sets of equivalent singular inner functions II
We study connected components of a common zero set of equivalent singular inner functions in the maximal ideal space of the Banach algebra of bounded analytic functions on the open unit disk. To study topological properties of zero sets of inner functions, we give a new type of factorization theorem for inner functions.
Compacité par compensation et espaces de Hardy
Compact composition operators and Carleson measure in the upper half-plane.