Tadahiro Oh

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math.CA2024

Symbolic calculus for a class of pseudodifferential operators with applications to compactness

Árpád Bényi, Tadahiro Oh, Rodolfo H. Torres

We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to $L^{2}$ -compactness via a compact version of the $T (1)$ theorem.

math.CA2023

Fractional Leibniz rule on the torus

Árpád Bényi, Tadahiro Oh, Tengfei Zhao

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, involvin…