14 citations · 52 across the 21 of their papers we have counts for
27 papers
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…
Polynomial progressions in topological fields
Ben Krause, Mariusz Mirek, Sarah Peluse +1
Let be polynomials with distinct degrees, no constant terms and coefficients in a general locally compact topological field . We give a quantitative…
Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
Mariusz Mirek, Tomasz Z. Szarek, James Wright
In this survey we review useful tools that naturally arise in the study of pointwise convergence problems in analysis, ergodic theory and probability. We will pay special attention…
On a multi-parameter variant of the Bellow-Furstenberg problem
Jean Bourgain, Mariusz Mirek, Elias M. Stein +1
We prove convergence in norm and pointwise almost everywhere on , , for certain multi-parameter polynomial ergodic averages by establishing the corresponding…
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…