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Morrey Spaces

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概要 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 “full” interpolation results for linear operators between Morrey spaces. This book will serve as a useful reference to graduate students and researchers interested in Potential Theory, Harmonic Analysis, PDE, and/or Morrey Space Theory. .続きを見る
目次 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.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2015 English/International

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登録日 2020.06.27
更新日 2020.06.28

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