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math.CA2026
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…
math.CA2025
Dimension-free estimates for discrete maximal functions related to normalized gaussians
Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
In this paper, we investigate dimension-free estimates for maximal operators of convolutions with discrete normalized Gaussians (related to the Theta function) in the context of ma…
math.CA2024★ 1 cited
New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to…