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arXiv · 2308.09147

Stein-Weiss-Adams inequality on Morrey spaces

Aidyn Kassymov·Maria Alessandra Ragusa·Michael Ruzhansky·Durvudkhan Suragan
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Abstract

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 $\mathbb{R}^{N}.$

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Aidyn Kassymov, Maria Alessandra Ragusa, Michael Ruzhansky, Durvudkhan Suragan. 2023-08-17. Stein-Weiss-Adams inequality on Morrey spaces. https://arxiv.org/abs/2308.09147

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