4 citations · 6 across the 7 of their papers we have counts for
8 papers
Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
Wojciech Słomian
In this short note, we show that the loss of order in the version of the Ionescu--Wainger multiplier theorem for canonical fractions, recently established by K…
Remarks on the Ionescu-Wainger multiplier theorem
Dariusz Kosz, Mariusz Mirek, Wojciech Słomian +1
In this paper, we extend the recent Ionescu--Wainger multiplier theorem for the set of canonical fractions by Kosz, Mirek, Peluse, Wan, and Wright in several directions. First, we…
Oscillation inequalities for Carleson--Dunkl operator
Wojciech Słomian
In this paper, we establish estimates for the oscillation seminorm for the so-called Carleson--Dunkl operator on weighted spaces with power…
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.
Some remarks on oscillation inequalities
Mariusz Mirek, Wojciech Słomian, Tomasz Z. Szarek
In this paper we establish uniform oscillation estimates on with for the polynomial ergodic averages. This result contributes to a certain problem about u…