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LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS

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We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with [θ] = 0; 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund… Click to show full abstract

We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with [θ] = 0; 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.

Keywords: measure non; logarithmic interpolation; interpolation methods; non compactness

Journal Title: Quarterly Journal of Mathematics
Year Published: 2019

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