3 citations · 6 across the 3 of their papers we have counts for
5 papers
The Hörmander Multiplier Theorem III: The complete bilinear case via interpolation
Loukas Grafakos, Hanh Van Nguyen
We develop a special multilinear complex interpolation theorem that allows us to prove an optimal version of the bilinear Hörmander multiplier theorem concerning symbols that lie i…
Multilinear Multiplier Theorems and Applications
Loukas Grafakos, Danqing He, Hanh Van Nguyen +1
We obtain new multilinear multiplier theorems for symbols of restricted smoothness which lie locally in certain Sobolev spaces. We provide applications concerning the boundedness o…
Phase Retrieval Versus Phaseless Reconstruction
Sara Botelho-Andrade, Peter G. Casazza, Hanh Van Nguyen +1
In 2006, Balan/Casazza/Edidin \cite{BCE} introduced the frame theoretic study of phaseless reconstruction. Since then, this has turned into a very active area of research. Over the…
Multilinear Fourier Multipliers with Minimal Sobolev Regularity, II
Loukas Grafakos, Akihiko Miyachi, Hanh Van Nguyen +1
We provide characterizations for boundedness of multilinear Fourier operators on Hardy-Lebesgue spaces with symbols locally in Sobolev spaces. Let denote the Har…
Multilinear Fourier Multipliers with Minimal Sobolev Regularity, I
Loukas Grafakos, Hanh Van Nguyen
We find optimal conditions on -linear Fourier multipliers to give rise to bounded operators from a product of Hardy spaces , , to Lebesgue spaces . The…