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The calculation of the sum of the spaces of the K ‐method of real interpolation
Author(s) -
Berezhnoĭ Evgenii I.
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900237
Subject(s) - mathematics , interpolation (computer graphics) , extrapolation , lipschitz continuity , interpolation space , bilinear interpolation , mathematical analysis , pure mathematics , functional analysis , statistics , animation , biochemistry , chemistry , computer graphics (images) , computer science , gene
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.