Morrey-Campanato space
= Morrey-Campanato space
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{wiki=Morrey–Campanato_space}
<Morrey-Campanato spaces> control local integrals on balls by a power of their radius. The Morrey form uses $\sup_{x,r}r^{-\lambda}\int_{B_r(x)}|u|^p$; the <Campanato space> uses $|u-u_{B_r(x)}|^p$ instead. Mean subtraction measures oscillation and relates this family to <Hölder spaces>.