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

• Published in: Journal of inequalities and applications Vol. 2024; no. 1; pp. 153 - 17
• Main Author: Toksoy, Erdem
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 03.12.2024; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; B $\mathbb{B}$ C $\mathbb{C}$ -convexity; Bicomplex weighted Lebesgue space; Convexity; D $\mathbb{D}$ -Beurling weight; Decomposition; Mathematics; Mathematics and Statistics; Weighting functions; 46B20; Beurling weight; 43A15; Bicomplex weighted Lebesgue space; convexity; 46E30

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 B C -convexity, B C -strict convexity, and B C -uniform convexity.