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In this work, it is assumed that the norm over bicomplex numbers is the hyperbolic (픻 -valued) norm. In this paper, we provide an overview of bicomplex Lebesgue spaces and investigate some of their geometric properties, including 픹 ⁢ ℂ -convexity, 픹 ⁢ ℂ -strict convexity, and 픹 ⁢ ℂ -uniform convexity. Moreover, the basic inequalities such as 픻 -Hölder's inequality and 픻 -Minkowski inequality for bicomplex Lebesgue spaces are presented, used to show geometric properties. [ABSTRACT FROM AUTHOR]