Marcinkiewicz theorem

In mathematics, the Marcinkiewicz theorem, discovered by Józef Marcinkiewicz,

Related Topics:
Mathematics - Józef Marcinkiewicz

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is a result about

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``interpolation of operators" acting on Lp spaces and related spaces.

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Interpolation of operators should not be confused with somewhat different mathematical procedure of interpolation

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of functions.

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Marcinkiewicz' theorem is similar in spirit to the Riesz-Thorin theorem, but can be used in certain situations where the Riesz-Thorin theorem cannot.

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You might want to read Riesz-Thorin theorem first, since it covers a similar, but conceptually simpler topic. More useful background can be found in Fourier series, operator norm and Lp space.

Related Topics:
Riesz-Thorin theorem - Fourier series - Operator norm - ''L''^p space

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