Resumen de Several Characterizations for the Special Atom Spaces with Applications.

Geraldo Soares de Souza, Richard O'Neil

• The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as Hp-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of Hp-spaces is what we call the real atomic characterization of these spaces.