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

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 $\mathbb{B}$ $\mathbb{C} $ -convexity, $\mathbb{B}$ $\mathbb{C} $ -strict convexity, and $\mathbb{B}$ $\mathbb{C} $ -uniform convexity.