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Marcinkiewicz interpolation theorem
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, particularly in <a href="/facts/Functional_analysis/MIp233MT">functional analysis</a>, the Marcinkiewicz interpolation theorem, discovered by <a href="/facts/J%25C3%25B3zef_Marcinkiewicz/r42suFSJ">Józef Marcinkiewicz</a> (1939), is a result bounding the norms of non-linear operators acting on <a href="/facts/Lp_space/gbad0Rv1"><i>L</i>p spaces</a>. </p><p>Marcinkiewicz' theorem is similar to the <a href="/facts/Riesz%25E2%2580%2593Thorin_theorem/fH5LKWnW">Riesz–Thorin theorem</a> about <a href="/facts/Linear_operators/Q1PBKNVV">linear operators</a>, but also applies to non-linear operators. </p>