Аннотация:
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.
Ключевые слова и фразы:
Calderón–Lozanovskii construction, local Morrey spaces, approximation in local Morrey spaces, Banach ideal spaces, sublinear operators, interpolation theorems in local Morrey spaces.
Образец цитирования:
E. I. Berezhnoi, “Calculation of the Calderón–Lozanovskii construction for a couple of local Morrey spaces”, Eurasian Math. J., 11:3 (2020), 21–34
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\by E.~I.~Berezhnoi
\paper Calculation of the Calder\'on--Lozanovskii construction for a couple of local Morrey spaces
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 3
\pages 21--34
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\crossref{https://doi.org/10.32523/2077-9879-2020-11-3-21-34}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj371
https://www.mathnet.ru/rus/emj/v11/i3/p21
Эта публикация цитируется в следующих 4 статьяx:
E. I. Berezhnoi, “Calderón–Lozanovskiĭ construction for a couple of global Morrey spaces”, Eurasian Math. J., 14:1 (2023), 25–38
Е. И. Бережной, “Мультипликаторы для конструкции Кальдерона”, Функц. анализ и его прил., 57:2 (2023), 3–17; E. I. Berezhnoi, “Multipliers for the Calderón construction”, Funct. Anal. Appl., 57:2 (2023), 87–98
Evgenii I. Berezhnoi, “Multipliers for global Morrey spaces”, Positivity, 27:3 (2023)
Evgenii I. Berezhnoi, “TWO EMBEDDING THEOREMS FOR INTERPOLATION FUNCTORS ON COUPLES OF GLOBAL MORREY SPACES”, J Math Sci, 266:2 (2022), 258
Цитирование в формате AMSBIB
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