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math.FA2018
Modulation spaces with scaling symmetry
Árpád Bényi, Tadahiro Oh
We indicate how to construct a family of modulation function spaces that have a scaling symmetry. We also illustrate the behavior of the Schrödinger multiplier on such function spa…
math.AP2018
On the probabilistic Cauchy theory for nonlinear dispersive PDEs
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.
math.CA2018
Strongly singular bilinear Calderón-Zygmund operators and a class of bilinear pseudodifferential operators
Árpád Bényi, Lucas Chaffee, Virginia Naibo
Motivated by the study of kernels of bilinear pseudodifferential operators with symbols in a Hörmander class of critical order, we investigate boundedness properties of strongly si…