Calculation of the Calderón – Lozanovskii Construction for a Couple of Local Morrey Spaces


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Authors

  • Evgenii Berezhnoi

Keywords:

Calderón – Lozanovskii construction, local Morrey spaces, approximation in local Morrey spaces, Banach ideal spaces, sublinear operators, interpolation theorems in local Morrey spaces

Abstract

The calculation of the Calderón – Lozanovskii construction for a couple of local Morrey spaces is reduced to the calculation of the Calderón – Lozanovskii construction for two couples of ideal spaces of functions and sequences, that are the parameters in the definition of local Morrey spaces. These results allow us to obtain new interpolation theorems for operators on local Morrey spaces.

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Published

2020-06-02

How to Cite

Berezhnoi, E. (2020). Calculation of the Calderón – Lozanovskii Construction for a Couple of Local Morrey Spaces. Eurasian Mathematical Journal, 11(3). Retrieved from https://emj.enu.kz/index.php/main/article/view/185

Issue

Vol. 11 No. 3 (2020)

Section

Articles