Regulated domains and Bergman type projections.
Regulated functions
The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
Removable singularities for weighted Bergman spaces
We develop a theory of removable singularities for the weighted Bergman space , where is a Radon measure on . The set is weakly removable for if , and strongly removable for if . The general theory developed is in many ways similar to the theory of removable singularities for Hardy spaces, and locally Lipschitz spaces of analytic functions, including the existence of counterexamples to many plausible properties, e.g. the union of two compact removable singularities needs not be removable....
Representation of multilinear operators on
Representing the algebra of regulated functions as an algebra of continuous functions
Resolutions of the identity in certain Banach spaces.
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
Riemann--Stieltjes operators between vector-valued weighted Bloch spaces.
Riemann–Stieltjes operators from spaces to -Bloch spaces on the unit ball.
Schatten class Toeplitz operators acting on large weighted Bergman spaces
A full description of the membership in the Schatten ideal for 0 < p < ∞ of Toeplitz operators acting on large weighted Bergman spaces is obtained.
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Semigroups of quasi-compact operators.
Series Representations of Linear Functionals.
Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions
We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.
Small bound isomorphisms of the domain of a closed *-derivation.
Smoothness in
Sobre Ciertos Espacios De Funciones Holo Morfas Y Sus Aplicaciones, II.
Some Analytic Functions Whose Boundary Values Have Bounded Mean Oscillation.
Some convexity questions arising in statistical mechanics.
Some Essential Properties of Q...(...)-Spaces.