Hyperbolic valued Beurling weighted bicomplex Lebesgue spaces and some of their geometric characteristics

Creative Commons License

Toksoy E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, no.1, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1186/s13660-024-03238-7
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

This study introduces hyperbolic-valued Beurling weight functions and establishes bicomplex weighted Lebesgue spaces using these weight functions. Further, it examines several geometric properties of spaces, such as BC-convexity, BC-strict convexity, and BC-uniform convexity.