Optimal Embeddings for Bessel and Riesz Potentials. Part 1

Authors: <a target="_blank" href="https://journals.rudn.ru/miph/search/authors/view?firstName=M&amp;middleName=L&amp;lastName=Goldman">Goldman ML 1 , <a target="_blank" href="https://journals.rudn.ru/miph/search/authors/view?firstName=O&amp;middleName=M&amp;lastName=Guselnikova">Guselnikova OM 1
Affiliations: Peoples Friendship University of Russia
Issue: No 3 (2011)
Pages: 5-17
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8668

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We establish effective criteria of optimal embeddings for Bessel and Riesz potentials into rearrangement invariant spaces.

Bessel potentials, Riesz potentials, Lorentz spaces, rearrangement invariant spaces, optimal embeddings, decreasing rearrangement

Peoples Friendship University of Russia

Email: seulydia@yandex.ru
Кафедра нелинейного анализа и оптимизации; Российский университет дружбы народов; Peoples Friendship University of Russia

Peoples Friendship University of Russia

Email: erridan@yandex.ru
Кафедра нелинейного анализа и оптимизации; Российский университет дружбы народов; Peoples Friendship University of Russia