Besov-Schatten Spaces

A. N. Marcoci; L. G. Marcoci; L. E. Persson

doi:10.1155/2012/693251

Journal of Function Spaces and Applications (Jan 2012)

Besov-Schatten Spaces

A. N. Marcoci,
L. G. Marcoci,
L. E. Persson

Affiliations

A. N. Marcoci: Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
L. G. Marcoci: Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
L. E. Persson: Department of Mathematics, Luleå University of Technology, 97 187 Luleå, Sweden

DOI: https://doi.org/10.1155/2012/693251
Journal volume & issue: Vol. 2012

Abstract

Read online

We introduce the Besov-Schatten spaces 𝐵𝑝(ℓ2), a matrix version af analytic Besov space, and we compute the dual of this space showing that it coincides with the matricial Bloch space introduced previously in Popa (2007). Finally we compute the space of all Schur multipliers on 𝐵1(ℓ2).

Published in Journal of Function Spaces and Applications

ISSN: 0972-6802 (Print)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

About the journal