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math.CA2018
Quantitative -improving for discrete spherical averages along the primes
Theresa C. Anderson
We show quantitative (in terms of the radius) -improving estimates for the discrete spherical averages along the primes. These averaging operators were defined by Anderson, Co…
math.CA2018
On the translates of general dyadic systems on
Theresa C. Anderson, Bingyang Hu, Liwei Jiang +2
Many techniques in harmonic analysis use the fact that a continuous object can be written as a sum (or an intersection) of dyadic counterparts, as long as those counterparts belong…
math.CA2018★ 2 cited
Spherical means on the Heisenberg group: Stability of a maximal function estimate
Theresa C. Anderson, Laura Cladek, Malabika Pramanik +1
Consider the surface measure on a sphere in a nonvertical hyperplane on the Heisenberg group , , and the convolution . Form the associated maximal fu…