Displaying similar documents to “On the Convergence of (0,1,2) Interpolation”

Interpolation properties of a scale of spaces.

A. K. Lerner, L. Liflyand (2003)

Collectanea Mathematica

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A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.

Inequalities and interpolation.

L. Maligranda, L. E. Persson (1993)

Collectanea Mathematica

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Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson 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 can be characterized by another Carlson type inequality with blocks.