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.
Schatten class Toeplitz operators on the Bergman space.
Sets in which the Besov norm in attained.
Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds
We consider a complete connected noncompact Riemannian manifold M with bounded geometry and spectral gap. We prove that the imaginary powers of the Laplacian and the Riesz transform are bounded from the Hardy space X¹(M), introduced in previous work of the authors, to L¹(M).
Similarity of operators and geometry of eigenvector bundles.
Singularities of analytic functions in a differential ring
Smoothness properties of functions in at certain boundary points.
Sobre Ciertos Espacios De Funciones Holo Morfas Y Sus Aplicaciones, II.
Some Banach spaces of Dirichlet series
The Hardy spaces of Dirichlet series, denoted by (p ≥ 1), have been studied by Hedenmalm et al. (1997) when p = 2 and by Bayart (2002) in the general case. In this paper we study some -generalizations of spaces of Dirichlet series, particularly two families of Bergman spaces, denoted and . Each could appear as a “natural” way to generalize the classical case of the unit disk. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings between...
Some conditions on Douglas algebras that imply the invariance of the minimal envelope map.
Some Hilbert spaces related with the Dirichlet space
We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Some Hölder-logarithmic estimates on Hardy-Sobolev spaces
We prove some optimal estimates of Hölder-logarithmic type in the Hardy-Sobolev spaces , where , and is either the open unit disk or the annular domain , of the complex space . More precisely, we study the behavior on the interior of of any function belonging to the unit ball of the Hardy-Sobolev spaces from its behavior on any open connected subset of the boundary of with respect to the -norm. Our results can be viewed as an improvement and generalization of those established...
Some properties of composition operators on the Dirichlet space.
Some remarks on the space .
Spaces of analytic functions
Strict continuous homomorphisms on spaces of bounded holomorphic functions.
Let HE∞ be the space of all bounded holomorphic functions on the unit ball of the Banach space E. In this note we study the algebra homomorphisms on HE∞ which are strict continuous.
Sur l’espace
Sur un problème de W. Rudin concernant les fonctions holomorphes et borneés