12 citations · 18 across the 12 of their papers we have counts for
13 papers
Dimension-free estimates for discrete maximal functions over cubes in
Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
In this short note, we establish dimension-free bounds, for all , for the discrete Hardy--Littlewood maximal functions associated with cubes i…
Improved multiplier theorems on rank one noncompact symmetric spaces
Błażej Wróbel
We prove multiplier theorems on rank one noncompact symmetric spaces which improve aspects of existing results. A common theme of our main results is that we partially drop specifi…
On estimates for positivity-preserving Riesz transforms related to Schrödinger operators
Maciej Kucharski, Błażej Wróbel
We study the boundedness for Riesz transforms of the form where and is a non-negative potential. W…
On the solution of Waring Problem with a multiplicative error term: dimension free estimates
Jarosław Mirek, Wojciech Słomian, Błażej Wróbel
We give a relation between the radius and the dimension in which the asymptotic formula in the Waring problem holds in a multiplicative and dimension-free fashion.
A dimension-free estimate on for the maximal Riesz transform in terms of the Riesz transform
Maciej Kucharski, Błażej Wróbel
W prove a dimension-free estimate for the norm of the maximal truncated Riesz transform in terms of the norm of the Riesz transform. Consequ…
Dimension-free estimates for the discrete spherical maximal functions
Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
We prove that the discrete spherical maximal functions (in the spirit of Magyar, Stein and Wainger) corresponding to the Euclidean spheres in with dyadic radii have $…
Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions
Dariusz Kosz, Mariusz Mirek, Paweł Plewa +1
Dependencies of the optimal constants in strong and weak type bounds will be studied between maximal functions corresponding to the Hardy--Littlewood averaging operators over conve…
Marcinkiewicz-type multipliers on products of noncompact symmetric spaces
Stefano Meda, Błażej Wróbel
In this paper we prove a Marcinkiewicz-type multiplier result for the spherical Fourier transform on products of rank one noncompact symmetric spaces.
On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective
Jean Bourgain, Mariusz Mirek, Elias M. Stein +1
This is a survey article about recent developments in dimension-free estimates for maximal functions corresponding to the Hardy--Littlewood averaging operators associated with conv…
Spectral multipliers for functions of fixed -type on
Fulvio Ricci, Błażej Wróbel
We prove an spectral multiplier theorem for functions of the -invariant sublaplacian acting on the space of functions of fixed -type on the group $SL(2,\mathbb{R}).…
Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in
Jean Bourgain, Mariusz Mirek, Elias M. Stein +1
Dimension-free bounds will be provided in maximal and -variational inequalities on corresponding to the discrete Hardy-Littlewood averaging operators defin…
Dimension-free estimates for vectors of Riesz transforms associated with orthogonal expansions
Błażej Wróbel
An explicit Bellman function is used to prove a bilinear embedding theorem for operators associated with general multi-dimensional orthogonal expansions on product spaces. This is…
spherical multipliers on homogeneous trees
Dario Celotto, Stefano Meda, Błażej Wróbel
We characterise, for each in , the class of spherical multipliers on homogeneous trees in terms of Fourier multipliers on the torus.