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On the Marcinkiewicz–Calderón Interpolation Theorem for Integral Operatorsстатья
- Авторы: Nursultanov E.D., Tleukhanova N.T., Mukeeva Z.M.
- Журнал: Mathematical Notes
- Том: 111
- Номер: 3-4
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 423
- Последняя страница: 432
- DOI: 10.1134/S0001434622030105
- Аннотация: The inverse problem to the classical Marcinkiewicz–Calderón interpolation theorem is considered. Necessary conditions for the Marcinkiewicz–Calderón theorem to hold for the integral operator under consideration are obtained in terms of the kernel of this operator. It is shown that these conditions are sufficient for the given integral operator to be of (p,q)-strong type for the same parameters p and q that appear in the interpolation theorem.
- Добавил в систему: Нурсултанов Ерлан Даутбекович