14 citations · 15 across the 4 of their papers we have counts for
4 papers
On the maximal function associated to the spherical means on the Heisenberg group
S. Bagchi, S. Hait, L. Roncal +1
In this paper we deal with lacunary and full versions of the spherical maximal function on the Heisenberg group , for . By suitable adaptation of an approach…
Multi-parameter singular Radon transforms II: the L^p theory
Elias M. Stein, Brian Street
The purpose of this paper is to study the boundedness of operators of the form \[ f\mapsto ψ(x) \int f(γ_t(x))K(t)\: dt, \] where is a function defined on…
Multi-parameter singular Radon transforms I: the theory
Brian Street
The purpose of this paper is to study the boundedness of operators of the form \[ f\mapsto ψ(x) \int f(γ_t(x)) K(t) dt, \] where is a function defined on…
Discrete analogues in harmonic analysis: Spherical averages
A. Magyar, E. M. Stein, S. Wainger
In this paper we prove an analogue in the discrete setting of \Bbb Z^d, of the spherical maximal theorem for \Bbb R^d. The methods used are two-fold: the application of certain "sa…