# Morrey and Campanato vs. Hardy and John-Nirenberg Spaces

# Morrey and Campanato vs. Hardy and John-Nirenberg Spaces

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 *H*^{p} The Hardy space *H*^{1} 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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