1 citations · 1 across the 3 of their papers we have counts for
8 papers
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…
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…