31 citations · 128 across the 29 of their papers we have counts for
6 papers · 2 filters
Measures of polynomial growth and classical convolution inequalities
Alex Iosevich, Ben Krause, Eric Sawyer +2
We study mapping properties of the convolution operator and of the corresponding maximal operator $ {\mathcal T}_λf(x)=\sup_{t>0} |λ_t*(fμ)…
Weighted and vector-valued variational estimates for ergodic averages
Ben Krause, Pavel Zorin-Kranich
We prove weighted and vector-valued variational estimates for ergodic averages on . The weighted square function estimate relating ergodic averages to the dyadic mart…
The Maximal Function and Square Function Control the Variation: An Elementary Proof
Kevin Hughes, Ben Krause, Bartosz Trojan
In this note we prove the following good- inequality, for , all , \[ ν\big\{ V_r(f) > 3 λ; \mathcal{M}(f) \leq δλ\big\} \leq 4 ν\{s(f…
Dimension-Free -Maximal Inequalities in
Jordan Greenblatt, Alexandra Kolla, Ben Krause
For , let denote the group equipped with the so-called metric, \[ |y| = \left| \big( y(1), \dots, y(N) \big) \right| := | \{1 \leq i…
Some Optimizations for (Maximal) Multipliers in
Ben Krause
We use Oberlin, Nazarov, and Thiele's Multi-Frequency Calderón-Zygmund decomposition to lower estimates on maximal multipliers in . We also improve on classical multiplier res…
Polynomial Ergodic Averages Converge Rapidly: Variations on a Theorem of Bourgain
Ben Krause
Let be a measure-preserving system, with a -action. In this note, we prove that the ergodic averages along integer-valued polynomials, , \[ M_N…