Revistes Catalanes amb Accés Obert (RACO)

Inequalities and interpolation

Lech Maligranda, Lars Erik Persson


Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson type inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class $P^{+-}$ can be described by one Carlson type inequality and that the wider class $P_0$ can be characterized by another Carlson type inequality with "blocks".

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