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This article is cited in 4 scientific papers (total in 4 papers)
Calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces
E. I. Berezhnoi Department of Mathematics,
Yaroslavl State University,
14 Sovetskaya St,
150 000 Yaroslavl, Russian Federation
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 allows us to obtain new interpolation theorems for operators on local Morrey spaces.
Keywords and phrases:
Calderón–Lozanovskii construction, local Morrey spaces, approximation in local Morrey spaces, Banach ideal spaces, sublinear operators, interpolation theorems in local Morrey spaces.
Received: 19.03.2019
Citation:
E. I. Berezhnoi, “Calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces”, Eurasian Math. J., 11:3 (2020), 21–34
Linking options:
https://www.mathnet.ru/eng/emj371 https://www.mathnet.ru/eng/emj/v11/i3/p21
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Abstract page: | 164 | Full-text PDF : | 80 | References: | 17 |
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