2 papers
math.CA2006
Strongly singular integral operators associated to different quasi-norms on the Heisenberg group
Norberto Laghi, Neil Lyall
In this article we study the behavior of strongly singular integrals associated to three different, albeit equivalent, quasi-norms on Heisenberg groups; these quasi-norms give rise…
math.CA2006
Strongly singular Radon transforms on the Heisenberg group and folding singularities
Norberto Laghi, Neil Lyall
We prove sharp regularity results for classes of strongly singular Radon transfoms on the Heisenberg group by means of oscillatory integrals. We show that the problem in ques…