Dariusz Kosz

activity

20172026

most citedSharp constants in inequalities admitting the Calderón transference principle

2 citations · 3 across the 16 of their papers we have counts for

collaborators

Showing 2022 · math.CAShow all

4 papers · 2 filters

math.CA2022

Weak-type maximal function estimates on the infinite-dimensional torus

Dariusz Kosz, Guillermo Rey, Luz Roncal

We prove necessary and sufficient conditions for the weak- $L^{p}$ boundedness, for $p \in (1, \infty)$ , of a maximal operator on the infinite-dimensional torus. In the endpoint case $…

math.CA2022

On the doubling condition in the infinite-dimensional setting

Dariusz Kosz

We present a systematic approach to the problem whether a topologically infinite-dimensional space can be made homogeneous in the Coifman--Weiss sense. The answer to the examined q…

math.CA2022

Sharp estimates for Jacobi heat kernels in conic domains

Dawid Hanrahan, Dariusz Kosz

We prove genuinely sharp estimates for the Jacobi heat kernels introduced in the context of the multidimensional cone $V^{d + 1}$ and its surface $V_{0}^{d + 1}$ . To do…

math.CA2022

The maximal function of the Devil's staircase is absolutely continuous

Cristian González-Riquelme, Dariusz Kosz

We study the problem of whether the centered Hardy--Littlewood maximal function of a singular function is absolutely continuous. For a parameter $d \in (0, 1)$ and a closed set $E\s…