Fractional Leibniz rule on the torus
We discuss the fractional Leibniz rule for periodic functions on the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d"> <mml:semantics> <mml:mi>d</mml:mi> <mml:annotation encoding="application/x-tex">d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.
Authors
- Árpád Bényi (ORCID: https://orcid.org/0000-0002-8584-8849)
- Tadahiro Oh (ORCID: https://orcid.org/0000-0003-2313-1145)
- Tengfei Zhao (ORCID: https://orcid.org/0000-0002-3011-0820)
Institutions
- Beijing Institute of Technology (CN)
- Maxwell Institute for Mathematical Sciences (GB)
- Western Washington University (US)
- University of Science and Technology Beijing (CN)
- University of Edinburgh (GB)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2024-11-21
- DOI
- https://doi.org/10.1090/proc/17007
- Citations
- 12
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 10.68
Funders
- H2020 European Research Council