Stein-Weiss-Adams inequality on Morrey spaces
Kassymov A. Ragusa M.A. Ruzhansky M. Suragan D.
1 December 2023Academic Press Inc.
Journal of Functional Analysis
2023#285Issue 11
We establish Adams type Stein-Weiss inequality on global Morrey spaces on general homogeneous groups. Special properties of homogeneous norms and some boundedness results on global Morrey spaces play key roles in our proofs. As consequence, we obtain fractional Hardy, Hardy-Sobolev, Rellich and Gagliardo-Nirenberg inequalities on Morrey spaces on stratified groups. While the results are obtained in the setting of general homogeneous groups, they are new already for the Euclidean space RN.
Fractional operator , Global Morrey space , Riesz potential , Stein-Weiss inequality
Text of the article Перейти на текст статьи
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Dipartimento di Matematica e Informatica, NANOMED, Research Centre for Nanomedicine and Pharmaceutical Nanotechnology, Università di Catania, Catania, Italy
Faculty of Fundamental Science, Industrial University, Ho Chi Minh City, Viet Nam
School of Mathematical Sciences, Queen Mary University of London, United Kingdom
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Astana, 010000, Kazakhstan
Department of Mathematics: Analysis
Institute of Mathematics and Mathematical Modeling
Dipartimento di Matematica e Informatica
Faculty of Fundamental Science
School of Mathematical Sciences
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026