Morrey Spaces

Type Book

Rate 0.0 /5

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 Morrey function; determining the dimensions of singular sets of weak solutions of PDE (e.g. The Meyers-Elcart System); and determining whether there are any ℓ́ℓfullℓ́ℓ interpolation results for linear…

Details

Files

Reviews

Download

Title Statements

Full title :Morrey Spaces.

Summary

Edition Statements

Publication Date:2015.

Publication Statements

Publisher(s):Springer International Publishing
Place of Publication:Cham
Language:eng
Publication Date:2015.

Notes

15.2.2 Stationary Navier-Stokes (n=5).

The Physical Object

Description:1 online resource (131 pages)

Edition Identifiers

ISBN:9783319266817, 3319266810
DOI:10.1007/978-3-319-26681-7
oclc:ocn935256197
LC Classification:QA1-939
Dewey Decimal:510

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.

Subjects

Abstract Harmonic Analysis Analyse fonctionnelle Analyse harmonique Differential Equations, Partial Équations aux dérivées partielles Fourier analysis Functional analysis Harmonic analysis mathematics Mathématiques Operator theory Partial Differential Equations Théorie des opérateurs