Schikorra, Armin and Spector, Daniel and Van Schaftingen, Jean. (2017) An L1-type estimate for Riesz potentials. Revista Matemática Iberoamericana, 33 (1). pp. 291-303.
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Official URL: http://edoc.unibas.ch/40315/
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Abstract
In this paper we establish new L1-type estimates for the classical Riesz potentials of order α∈(0,N):
∥Iαu∥LN/(N−α)(RN)≤C∥Ru∥L1(RN;RN).
This sharpens the result of Stein and Weiss on the mapping properties of Riesz potentials on the real Hardy space H1(RN) and provides a new family of L1-Sobolev inequalities for the Riesz fractional gradient.
∥Iαu∥LN/(N−α)(RN)≤C∥Ru∥L1(RN;RN).
This sharpens the result of Stein and Weiss on the mapping properties of Riesz potentials on the real Hardy space H1(RN) and provides a new family of L1-Sobolev inequalities for the Riesz fractional gradient.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann) |
|---|---|
| UniBasel Contributors: | Schikorra, Armin |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | European Mathematical Society |
| ISSN: | 0213-2230 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: |
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| Last Modified: | 04 Apr 2018 07:26 |
| Deposited On: | 04 Apr 2018 07:26 |
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