"Bounded Analytic Functions" is a specialized book that focuses on the theory of Hardy spaces in one dimension. It places particular emphasis on the exciting developments of the last two decades. The last seven of the total ten chapters are mainly dedicated to these recent advancements. The book highlights the interplay between real, complex, and abstract analysis, emphasizing the effectiveness of methods from real analysis that were developed as part of a program to extend the theory to Euclidean spaces where complex methods are not applicable. Each chapter concludes with sections titled "Notes" and "Exercises and Further Results," which contain historical comments and direct readers to the original sources of the material discussed.