21 citations · 75 across the 13 of their papers we have counts for
15 papers
Hardy and BMO spaces on Weyl chambers
Paweł Plewa, Krzysztof Stempak
Let be a finite reflection group associated with root system in . Let denote a positive Weyl chamber distinguished by a choice of , a set of positiv…
On non-centered maximal operators related to a non-doubling and non-radial exponential measure
Adam Nowak, Emanuela Sasso, Peter Sjögren +1
We investigate mapping properties of non-centered Hardy-Littlewood maximal operators related to the exponential measure in . The…
Reflection principles for functions of Neumann and Dirichlet Laplacians on open reflection invariant subsets of
Jacek Małecki, Krzysztof Stempak
For an open subset of , symmetric with respect to a hyperplane and with positive part , we consider the Neumann/Dirichlet Laplacians and $-Δ_{N/D…
On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings
Adam Nowak, Krzysztof Stempak, Tomasz Z. Szarek
We study several fundamental harmonic analysis operators in the multi-dimensional context of the Dunkl harmonic oscillator and the underlying group of reflections isomorphic to $\m…
Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions
Adam Nowak, Krzysztof Stempak
We study potential operators associated with Laguerre function expansions of convolution and Hermite types, and with Dunkl-Laguerre expansions. We prove qualitatively sharp estimat…
Potential operators associated with Hankel and Hankel-Dunkl transforms
Adam Nowak, Krzysztof Stempak
We study Riesz and Bessel potentials in the settings of Hankel transform, modified Hankel transform and Hankel-Dunkl transform. We prove sharp or qualitatively sharp pointwise esti…