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Function Spaces and Partial Differential EquationsVolume 2: Contemporary Analysis$
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Ali Taheri

Print publication date: 2015

Print ISBN-13: 9780198733157

Published to Oxford Scholarship Online: September 2015

DOI: 10.1093/acprof:oso/9780198733157.001.0001

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Morrey and Campanato vs. Hardy and John-Nirenberg Spaces

Morrey and Campanato vs. Hardy and John-Nirenberg Spaces

Chapter:
(p.751) 18 Morrey and Campanato vs. Hardy and John-Nirenberg Spaces
Source:
Function Spaces and Partial Differential Equations
Author(s):

Ali Taheri

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198733157.003.0018

This chapter presents an analysis of decay rates of integral means of functions. It also provides an introduction of Morrey and Campanato spaces and their relation to Holder spaces. It also provides an introduction of John-Nirenberg space BMO and real Hardy spaces Hp The Hardy space H1 the div-curl lemma, some Hardy space techniques in PDEs and higher integrability of Jacobians.

Keywords:   Morrey spaces, Campanato spaces, BMO, Hardy spaces, div-curl lemma, reverse Holder inequalities, Jacobians, John-Nirenberg space

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