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As stated, the theorem does not apply to non-linear operators. |
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In [[mathematics]], the '''Marcinkiewicz interpolation theorem''', discovered by {{harvs|txt|authorlink=Józef Marcinkiewicz|first=Józef |last=Marcinkiewicz|year=1939}}, is a result bounding the norms of non-linear operators acting on [[lp space|''L''<sup>p</sup> spaces]].
Marcinkiewicz' theorem is similar to the [[Riesz–Thorin theorem]] about [[linear operators]], but also applies to non-linear operators.
==Preliminaries==
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