Morrey Spaces

• Κύριος συγγραφέας: Adams, David R. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Applied and Numerical Harmonic Analysis,
• Θέματα: Mathematics.; Harmonic analysis.; Functional analysis.; Operator theory.; Partial differential equations.; Abstract Harmonic Analysis.; Partial Differential Equations.; Functional Analysis.; Operator Theory.

In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary...

Πίνακας περιεχομένων:

• Introduction
• Function Spaces
• Hausforff Capacity
• Choquet Integrals
• Duality for Morrey Spaces
• Maximal Operators and Morrey Spaces
• Potential Operators on Morrey Spaces
• Singular Integrals on Morrey Spaces
• Morrey-Sobolev Capacities
• Traces of Morrey Potentials
• Interpolation of Morrey Spaces
• Commutators of Morrey Potentials
• Mock Morrey Spaces
• Morrey-Besov Spaces and Besov Capacities
• Morrey Potentials and PDE I
• Morrey Potentials and PDE II
• Morrey Spaces on Complete Riemannian Manifolds.