Search Results - "Kosz, Dariusz"

Maximal operators on Lorentz spaces in non-doubling setting by Kosz, Dariusz

“…We study mapping properties of the centered Hardy–Littlewood maximal operator M acting on Lorentz spaces L p , q ( X ) in the context of certain non-doubling…”
Get full text

Weak-type maximal function estimates on the infinite-dimensional torus by Kosz, Dariusz, Rey, Guillermo, Roncal, Luz

“…We prove necessary and sufficient conditions for the weak- L p boundedness, for p ∈ ( 1 , ∞ ) , of a maximal operator on the infinite-dimensional torus. In the…”
Get full text

The Maximal Function of the Devil’s Staircase is Absolutely Continuous by González-Riquelme, Cristian, Kosz, Dariusz

“…We study the problem of whether the centered Hardy–Littlewood maximal function of a singular function is absolutely continuous. For a parameter d ∈ ( 0 , 1 )…”
Get full text

Some remarks on dimension-free estimates for the discrete Hardy—Littlewood maximal functions by Kosz, Dariusz, Mirek, Mariusz, Plewa, Paweł, Wróbel, Błażej

“…Dependencies of the optimal constants in strong and weak type bounds will be studied between maximal functions corresponding to the Hardy—Littlewood averaging…”
Get full text

Maximal operators on the infinite-dimensional torus by Kosz, Dariusz, Martínez-Perales, Javier C., Paternostro, Victoria, Rela, Ezequiel, Roncal, Luz

“…We study maximal operators related to bases on the infinite-dimensional torus T ω . For the normalized Haar measure dx on T ω it is known that M R 0 , the…”
Get full text

Corrigendum to ``On a discrete version of Tanaka's theorem for maximal functions' by BOBER, JONATHAN, CARNEIRO, EMANUEL, HUGHES, KEVIN, KOSZ, DARIUSZ, PIERCE, LILLIAN B.

“…In this note we present a brief fix for an oversight in the proof of Lemma 3(iii) in a 2012 paper by Bober, Carneiro, Hughes and Pierce…”
Get full text

Sharp estimates for Jacobi heat kernels in conic domains by Hanrahan, Dawid, Kosz, Dariusz

“…We prove genuinely sharp estimates for the Jacobi heat kernels introduced in the context of the multidimensional cone Vd+1 and its surface V0d+1. To do so, we…”
Get full text

BMO$ spaces for nondoubling metric measure spaces by Kosz, Dariusz

Get full text

On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces by Kosz, Dariusz

“…In this article we characterize all possible cases that may occur in the relations between the sets of p for which weak type (p, p) and strong type (p, p)…”
Get full text

ON RELATIONS BETWEEN WEAK AND STRONG TYPE INEQUALITIES FOR MAXIMAL OPERATORS ON NON-DOUBLING METRIC MEASURE SPACES by Kosz, Dariusz

“…In this article we characterize all possible cases that may occur in the relations between the sets of 𝑝 for which weak type (𝑝, 𝑝) and strong type (𝑝, 𝑝)…”
Get full text

BV continuity for the uncentered Hardy–Littlewood maximal operator by González-Riquelme, Cristian, Kosz, Dariusz

“…We prove the continuity of the map f↦M˜f from BV(R) to itself, where M˜ is the uncentered Hardy–Littlewood maximal operator. This answers a question of…”
Get full text

Sharp constants in inequalities admitting the Calder\'on transference principle by Kosz, Dariusz

“…Ergod. Th. Dynam. Sys. 44 (2024) 1597-1608 The aim of this note is twofold. Firstly, we prove an abstract version of the Calder\'on transference principle for…”
Get full text

On the doubling condition in the infinite-dimensional setting by Kosz, Dariusz

“…We present a systematic approach to the problem whether a topologically infinite-dimensional space can be made homogeneous in the Coifman--Weiss sense. The…”
Get full text

Maximal operators in nondoubling metric measure spaces by Kosz, Dariusz

“…This is a revised version of the doctoral dissertation of the same title, written under the supervision of Professor Krzysztof Stempak in 2019. For general…”
Get full text

A_\infty$ condition for general bases revisited: complete classification of definitions by Kosz, Dariusz

“…We refer to the discussion on different characterizations of the $A_\infty$ class of weights, initiated by Duoandikoetxea, Mart\'in-Reyes, and Ombrosi. Twelve…”
Get full text

Ultrasonic system for accurate distance measurement in the air by Licznerski, Tomasz J., Jaroński, Jarosław, Kosz, Dariusz

“…► This paper presents a system that accurately measures the distance travelled by ultrasound waves through the air. ► The designed system provides a tool for…”
Get full text

On differentiation of integrals in the infinite-dimensional torus by Kosz, Dariusz

“…We answer the recently posed questions regarding the problem of differentiation of integrals for the Rubio de Francia basis $\mathcal{R}$ in the infinite torus…”
Get full text

Sharp estimates for Jacobi heat kernels in conic domains by Hanrahan, Dawid, Kosz, Dariusz

“…We prove genuinely sharp estimates for the Jacobi heat kernels introduced in the context of the multidimensional cone $\mathbb{V}^{d+1}$ and its surface…”
Get full text

Boundedness properties of maximal operators on Lorentz spaces by Kosz, Dariusz

“…We study mapping properties of the centered Hardy--Littlewood maximal operator $\mathcal{M}$ acting on Lorentz spaces. Given $p \in (1,\infty)$ and a metric…”
Get full text

On relations between weak and strong type inequalities for modified maximal operators on non-doubling metric measure spaces by Kosz, Dariusz

“…In this article we investigate a special class of non-doubling metric measure spaces in order to describe the possible configurations of $P_{k,\rm s}^{\rm c}$,…”
Get full text