P. Plewa

activity

20242026

collaborators

4 papers

math.DS2026

Polynomial ergodic theorems in the spirit of Dunford and Zygmund

Dariusz Kosz, Bartosz Langowski, Mariusz Mirek +1

The main goal of the paper is to prove convergence in norm and pointwise almost everywhere on $L^{p}$ , $p \in (1, \infty)$ , for certain multiparameter polynomial ergodic averages in th…

math.AP2025

A unified proof of sharp bounds for the Jacobi heat kernel with trace and estimates of multiplicative constants

Adam Nowak, PaweÅ Plewa, Tomasz Z. Szarek

We give a unified and optimized proof of the sharp bounds for the Jacobi heat kernel, which were obtained gradually in several papers in recent years. We lay particular emphasis on…

math.FA2024

$L^{p}$ -boundedness of Riesz transforms on solvable extensions of Carnot groups

Alessio Martini, PaweÅ Plewa

Let $G = N ⋊ R$ , where $N$ is a Carnot group and $R$ acts on $N$ via automorphic dilations. Homogeneous left-invariant sub-Laplacians on $N$ and $R$ c…

math.FA2024

Singular integrals on $a x + b$ hypergroups and an operator-valued spectral multiplier theorem

Alessio Martini, PaweÅ Plewa

Let $L_{I^} ½ = - \partial_{x}^{2} - (I^½ - 1) x^{- 1} \partial_{x}$ be the Bessel operator on the half-line $X_{I^} ½ = [0, \infty)$ with measure $x^{I^½ - 1} d x$ . In this work we study singular…

Polynomial ergodic theorems in the spirit of Dunford and Zygmund

A unified proof of sharp bounds for the Jacobi heat kernel with trace and estimates of multiplicative constants

Lp-boundedness of Riesz transforms on solvable extensions of Carnot groups

Singular integrals on ax+b hypergroups and an operator-valued spectral multiplier theorem

$L^{p}$ -boundedness of Riesz transforms on solvable extensions of Carnot groups

Singular integrals on $a x + b$ hypergroups and an operator-valued spectral multiplier theorem