4 citations · 6 across the 7 of their papers we have counts for
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Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes
Nathan Mehlhop, Wojciech Słomian
We prove the uniform oscillation and jump inequalities for the polynomial ergodic averages modeled over multi-dimensional subset of primes. These inequalities provide endpoints for…
Oscillation estimates for truncated singular Radon operators
Wojciech Słomian
In this paper we prove uniform oscillation estimates on , with , for truncated singular integrals of the Radon type associated with Calderón-Zygmund kernel, bo…
Bootstrap methods in bounding discrete Radon operators
Wojciech Słomian
The aim of this paper is to develop bootstrap arguments to establish maximal, oscillation, variational and jump inequalities for the discrete averaging Radon operators on $\ell^p(\…
On the solution of Waring Problem with a multiplicative error term: dimension free estimates
Jarosław Mirek, Wojciech Słomian, Błażej Wróbel
We give a relation between the radius and the dimension in which the asymptotic formula in the Waring problem holds in a multiplicative and dimension-free fashion.