ENGLISH

Morrey Spaces

By David R. Adams (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2015
ISBN
978-3-319-26679-4, 978-3-319-26681-7
DOI
10.1007/978-3-319-26681-7
Language
english
Format
PDF
Filesize
2 MB (1817994 bytes)
Series
Applied and Numerical Harmonic Analysis
Edition
1
Pages
XVII, 124\133
Time added
2016-03-14 21:35:01
Abstract Harmonic Analysis; Partial Differential E

Description

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.

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