13 citations · 13 across the 5 of their papers we have counts for
7 papers
Multilinear transference on product spaces and applications
Árpád Bényi, Tadahiro Oh
We establish transference results for multilinear Fourier multiplier operators from Euclidean spaces to product spaces of the form . We prove…
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 -compactness via a compact version of the theorem.
Compact bilinear operators and paraproducts revisited
Árpád Bényi, Guopeng Li, Tadahiro Oh +1
We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compa…
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…
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…
Modulation spaces, Wiener amalgam spaces, and Brownian motions
Árpád Bényi, Tadahiro Oh
We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces M^{p, q}_s and Wiener amalgam spaces W^{p, q}_s. We show that t…