FRACTIONAL LEIBNIZ RULE ON THE TORUS

Árpád Bényi; Tadahiro Oh; Tengfei Zhao

doi:10.1090/proc/17007

FRACTIONAL LEIBNIZ RULE ON THE TORUS

Árpád Bényi, Tadahiro Oh, Tengfei Zhao

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the fractional Leibniz rule for periodic functions on the d-dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.

Original language	English
Pages (from-to)	207-221
Number of pages	15
Journal	Proceedings of the American Mathematical Society
Volume	153
Issue number	1
DOIs	https://doi.org/10.1090/proc/17007
State	Published - Jan 2025

ASJC Scopus Subject Areas

General Mathematics
Applied Mathematics

Keywords

Fractional Leibniz rule, Poisson summation formula

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10.1090/proc/17007

Cite this

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title = "FRACTIONAL LEIBNIZ RULE ON THE TORUS",

abstract = "We discuss the fractional Leibniz rule for periodic functions on the d-dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.",

keywords = "Fractional Leibniz rule, Poisson summation formula",

author = "{\'A}rp{\'a}d B{\'e}nyi and Tadahiro Oh and Tengfei Zhao",

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doi = "10.1090/proc/17007",

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FRACTIONAL LEIBNIZ RULE ON THE TORUS

Abstract

ASJC Scopus Subject Areas

Keywords

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