14 citations · 52 across the 21 of their papers we have counts for
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Lacunary maximal functions on homogeneous groups
Aswin Govindan Sheri, Jonathan Hickman, James Wright
We observe that classical arguments of Ricci--Stein can be used to prove bounds for maximal functions associated to lacunary dilates of a fixed measure in the setting of homo…
A non-archimedean variant of Littlewood--Paley theory for curves
Jonathan Hickman, James Wright
We prove a variant of a square function estimate for the extension operator associated to the moment curve in non-archimedean local fields. The arguments rely on a structural analy…
A theory of complex oscillatory integrals: A case study
James Wright
In this paper we develop a theory for oscillatory integrals with complex phases. When , we evaluate this phase function on the basic character ${\r…
On The Local Sum Conjecture in Two Dimensions
Robert Fraser, James Wright
In this paper we give an elementary proof of the local sum conjecture in two dimensions. In a remarkable paper [CMN, arXiv:1810.11340], this conjecture has been established in all…
Multiparameter singular integrals on the Heisenberg group: uniform estimates
Marco Vitturi, James Wright
We consider a class of multiparameter singular Radon integral operators on the Heisenberg group where the underlying variety is the graph of a polynomial. A remarka…
A Class of Multiparameter Oscillatory Singular Integral Operators: Endpoint Hardy Space Bounds
Odysseas Bakas, Eric Latorre, Diana Cristina Rincón Martínez +1
We establish endpoint bounds on a Hardy space for a natural class of multiparameter singular integral operators which do not decay away from the support of rectangular atoms.…