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

Evgenii I. Berezhnoĭ

Mathematische Nachrichten, 2021, vol. 294, issue 1, 6-14

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.

Date: 2021
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https://doi.org/10.1002/mana.201900237

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