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The calculation of the sum of the spaces of the K‐method of real interpolation

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It is shown that the calculation of the sum of the spaces of the K‐Peetre interpolation method can be reduced to the calculation of the sum of the cones of… Click to show full abstract

It is shown that the calculation of the sum of the spaces of the K‐Peetre interpolation method can be reduced to the calculation of the sum of the cones of the concave functions included by the parameter in the definition of the spaces of the K‐Peetre interpolation method. As an example, a new extrapolation theorem for operators in Lipschitz spaces is obtained.

Keywords: spaces method; calculation; interpolation; calculation sum; sum spaces

Journal Title: Mathematische Nachrichten
Year Published: 2020

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