Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces A Sharp Theory /

• Main Authors: Alvarado, Ryan (Author), Mitrea, Marius (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Lecture Notes in Mathematics, 2142
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Measure theory.; Partial differential equations.; Functions of real variables.; Fourier Analysis.; Real Functions.; Functional Analysis.; Measure and Integration.; Partial Differential Equations.

Systematically building an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Ahlfors-regular quasi-metric spaces. The text is broadly divided into two main parts. The first part gives atomic, molecular, and grand maximal function characterizati...