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math.CA2023★ 13 cited
Fractional Leibniz rule on the torus
Árpád Bényi, Tadahiro Oh, Tengfei Zhao
We discuss the fractional Leibniz rule for periodic functions on the -dimensional torus, including the endpoint cases. As an application, we present a product estimate, involvin…
math.CA2021
Schrödinger maximal estimates associated with finite type phases in
Zhuoran Li, Junyan Zhao, Tengfei Zhao
In this paper, we establish Schrödinger maximal estimates associated with the finite type phases \begin{equation*} ϕ(ξ_1,ξ_2):=ξ^m_1+ξ^m_2,\;(ξ_1,ξ_2)\in [0,1]^2, \end{equation*} w…