89 citations · 147 across the 15 of their papers we have counts for
8 papers · 1 filter
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.
Discrete bilinear operators and commutators
Árpád Bényi, Tadahiro Oh
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear pseudodifferential operators with symbols i…
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Árpád Bényi, José María Martell, Kabe Moen +2
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settin…
Compactness properties of commutators of bilinear fractional integrals
Árpád Bényi, Wendolín Damián, Kabe Moen +1
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be join…
On the Hörmander classes of bilinear pseudodifferential operators II
Árpad Bényi, Frédéric Bernicot, Diego Maldonado +2
Boundedness properties for pseudodifferential operators with symbols in the bilinear Hörmander classes of sufficiently negative order are proved. The results are obtained in the sc…
On the Hörmander classes of bilinear pseudodifferential operators
Árpád Bényi, Diego Maldonado, Virginia Naibo +1
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander classes are considered and the possibility of a symbolic calculus for the transposes…
Modulation invariant bilinear T(1) theorem
Arpad Benyi, Ciprian Demeter, Andrea R. Nahmod +3
We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dimensional modulation symmetry.