Carleson's Counterexample and a scale of Lorentz-BMO spaces on the bitorus

Blasco de la Cruz, O. and Pott, S. (2005) Carleson's Counterexample and a scale of Lorentz-BMO spaces on the bitorus. Arkiv för Matematik, 43(2), pp. 289-305. (doi:10.1007/BF02384781)

[img] Text
Arkiv05.pdf
Restricted to Repository staff only

603kB

Abstract

We introduce a full scale of Lorentz-BMO spaces BMO_{p,q} on the bidisk, and show that these spaces do not coincide for different values of p and q. Our main tool is a detailed analysis of Carleson's construction.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Pott, Dr Sandra
Authors: Blasco de la Cruz, O., and Pott, S.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Research Group:Mathematics, Analysis
Journal Name:Arkiv för Matematik
Journal Abbr.:Ark. Mat.
ISSN:0004-2080

University Staff: Request a correction | Enlighten Editors: Update this record