1 citations · 1 across the 4 of their papers we have counts for
4 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…
A unified proof of sharp bounds for the Jacobi heat kernel with trace and estimates of multiplicative constants
Adam Nowak, Paweł 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…
Dimension-free estimates for discrete maximal functions related to normalized sampled gaussians
Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
In this paper, we investigate dimension-free estimates for convolution operators with discrete normalized sampled Gaussians (related to the Theta function) in the context of maxima…
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…