Multiplicative Lebesgue spaces

Erdem Toksoy

Multiplicative Lebesgue spaces

Authors

Erdem Toksoy Ondokuz Mayıs University

Keywords:

Multiplicative Lebesgue spaces, Multiplicative Minkowski’s inequality, Multiplicative Hölder’s inequality

Abstract

This study introduces Lebesgue spaces of multiplicative functions defined from the set of real numbers to the set of geometric real numbers; it is demonstrated that these spaces constitute multiplicative normed spaces, and multiplicative versions of Minkowski's and H\"{o}lder's inequalities are established.