29 citations · 181 across the 37 of their papers we have counts for
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math.CA2013
Weak type (1, 1) inequalities for discrete rough maximal functions
Mariusz Mirek
The aim of this paper is to show that the discrete maximal function $$\mathcal{M}_{h}f(x)=\sup_{N\in\mathbb{N}}\frac{1}{|\mathbf{N}_{h}\cap[1, N]|}\Big|\sum_{n\in \mathbf{N}_{h}\ca…
math.CA2013
Roth's Theorem in the Piatetski-Shapiro primes
Mariusz Mirek
Let denote the set of prime numbers and, for an appropriate function , define a set $\mathbf{P}_{h}=\{p\in\mathbf{P}: \exists_{n\in\mathbb{N}}\ p=\lfloor h(n)\rfloo…