Hardy Space on Space of Homogeneus Type

In this thesis, we will discuss Hardy spaces defined on spaces of homogeneous type. Hardy spaces have numerous applications in various fields of mathematics and physics. For instance, they are widely used in harmonic analysis, partial differential equations, operator theory, and the theory of functions of a complex variable. Moreover, they show remarkable connections with other, seemingly distant areas of mathematics, such as number theory and probability theory. The study of such spaces thus provides advanced tools for research in various areas of mathematics.