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Let $1\leq p <\infty$ and $0<\lambda<n$. The set of locally integrable functions $f$ such that 
$$
\sup_{r>0, x \in \R^n} \dfrac{1}{r^\lambda} \int_{B_r(x)} |f(y)|^p dy <+\infty
$$

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How to Cite This Entry:
Morrey spaces. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Morrey_spaces&oldid=55814

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