Carleson measures on Hardy spaces with bicomplex scalars
Abstract
UDC 517.53 We explore Carleson measures given on the Hardy spaces defined over the bicomplex space and investigate the properties of the bicomplex Toeplitz operator. In the first section, we provide a comprehensive introduction and formulate the key definitions necessary for the subsequent analysis. In the second section, we present the results for $\mathbb{D}$-Carleson measures and establish their relationship with bicomplex Hardy spaces. Finally, in the last section, we extend the concept of the Toeplitz operator to the bicomplex space, thus offering broader prospects.
Fields of Study & Subjects
Holomorphic and Operator Theory
Algebraic and Geometric Analysis
Advanced Operator Algebra Research
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 78
- Issue
- 1-2
- Pages
- 82–82
- Publication date
- 27 January 2026
- Language
- EN