Currently displaying 1 – 14 of 14

Showing per page

Order by Relevance | Title | Year of publication

Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of C.

Patrick AhernJoaquim Bruna — 1988

Revista Matemática Iberoamericana

In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of C, that is, spaces of holomorphic functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of H itself involving only complex-tangential derivatives....

On truncations of Hankel and Toeplitz operators.

Aline BonamiJoaquim Bruna — 1999

Publicacions Matemàtiques

We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.

Pere Menal i Brufal, 1951-1991.

Joaquim BrunaWarren Dicks — 1992

Publicacions Matemàtiques

Pere Menal, Professor of Algebra at the Universitat Autònoma de Barcelona, died in a traffic accident on April 4th, 1991. His colleagues in the Mathematics Department of the UAB strongly felt the need to pay a tribute to his memory, and decided then to dedicate this, the Autumn 1992 issue of the departmental journal, to his memory.

Completeness in L(R) of discrete translates.

Joaquim BrunaAlexander OlevskiiAlexander Ulanovskii — 2006

Revista Matemática Iberoamericana

We characterize, in terms of the Beurling-Malliavin density, the discrete spectra Λ ⊂ R for which a generator exists, that is a function φ ∈ L(R) such that its Λ translates φ(x - λ), λ ∈ Λ, span L(R). It is shown that these spectra coincide with the uniqueness sets for certain analytic clases. We also present examples of discrete spectra Λ ∈ R which do not admit a single generator while they admit a pair of generators.

Page 1

Download Results (CSV)