Pseudo-Uniform Convexity of the Hardy Class H on Riemann Surfaces.
Quadrature Formulae for Hp Functions.
Quasi-invariant subspaces generated by polynomials with nonzero leading terms
We introduce a partial order relation in the Fock space. Applying it we show that for the quasi-invariant subspace [p] generated by a polynomial p with nonzero leading term, a quasi-invariant subspace M is similar to [p] if and only if there exists a polynomial q with the same leading term as p such that M = [q].
Quelques questions ouvertes en analyse ultramétrique
Quelques résultats de division dans
Rational Approximation and Weak Analyticity. II.
Reflexivity of the isometry group of some classical spaces.
We investigate the reflexivity of the isometry group and the automorphism group of some important metric linear spaces and a1gebras. The paper consists of the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces of measurable functions. Hardy spaces. 5. Banach algebras of holomorphic functions. 6. Fréchet algebras of holomorphic functions. 7. Spaces of continuous functions.
Regolarità degli Jacobiani
Reinhardt domains and the Gleason problem
Remark on paper of M. Von Renteln "Finitely generated ideals in B-Algebra H∞".
Representations of H...(G) and invariant subspaces.
Representing measures for the disc algebra and for the ball algebra
We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.
Riemann mapping theorem in ℂⁿ
The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent. We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem
Royden's Algebra on Riemannian Spaces.
Schwartz Kernels on Siegel II Domains.
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
Sequence spaces and interpolation problems for analytic functions
Sets in which the Besov norm in attained.
Several characterizations for the special atom spaces with applications.
The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as Hp-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of Hp-spaces is what we call the real atomic characterization of these spaces.