15 citations · 36 across the 6 of their papers we have counts for
6 papers
Compact theorem à la Stein
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We prove a compact theorem, involving quantitative estimates, analogous to the quantitative classical theorem due to Stein. We also discuss the -to-…
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…
Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider the cubic nonlinear Schrödinger equation (NLS) on with randomized initial data. In particular, we study an iterative approach based on a partial power se…
Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider a randomization of a function on that is naturally associated to the Wiener decomposition and, intrinsically, to the modulation spaces. Such randomized fu…
On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ,
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider the Cauchy problem of the cubic nonlinear Schrödinger equation (NLS) on , , with random initial data and prove almost sure well-posedness results…
Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators
Árpád Bényi, Tadahiro Oh
Commutators of bilinear pseudodifferential operators with symbols in the Hörmander class BS_{1, 0}^1 and multiplication by Lipschitz functions are shown to be bilinear Calderón-Zyg…