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

• Κύριοι συγγραφείς: Alvarado, Ryan (Συγγραφέας), Mitrea, Marius (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Lecture Notes in Mathematics, 2142
• Θέματα: 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...

Πίνακας περιεχομένων:

• Introduction. - Geometry of Quasi-Metric Spaces
• Analysis on Spaces of Homogeneous Type
• Maximal Theory of Hardy Spaces
• Atomic Theory of Hardy Spaces
• Molecular and Ionic Theory of Hardy Spaces
• Further Results
• Boundedness of Linear Operators Defined on Hp(X)
• Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces.