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)

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