Hyperbolic Valued Beurling Weighted Bicomplex Lebesgue Spaces and Some of Their Geometric Characteristics

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.