Bourgain-Lebesgue spaces
Abstract
Bourgain initially introduced a specific instance of Bourgain-Morrey spaces to investigate the restriction and multiplier problems in ℝ 3 . Following this, the concept of Bourgain-type function spaces garnered considerable attention among researchers. In the paper, we aim to introduce Bourgain-Lebesgue spaces, and delve into the embedding properties, the Young inequality, dilation properties in the spaces. Additionally, we explore the boundedness properties within Bourgain-Lebesgue spaces concerning local Hardy-Littlewood maximal operators and their vector-valued counterparts.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Advanced Banach Space Theory
Holomorphic and Operator Theory
Publication details
- Journal / source
- Miskolc mathematical notes/Mathematical notes
- Publisher
- Mathematical Notes
- Volume
- 27
- Issue
- 1
- Pages
- 193–193
- Publication date
- 1 January 2026
- Language
- EN