6 citations · 17 across the 14 of their papers we have counts for
15 papers
Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels
Paweł Plewa
We prove sharp both-sided estimates for the -invariant trigonometric Dunkl heat kernel in rank one case, including root systems and . Consequently, we obtain sharp b…
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…
-boundedness of Riesz transforms on solvable extensions of Carnot groups
Alessio Martini, Paweł Plewa
Let , where is a Carnot group and acts on via automorphic dilations. Homogeneous left-invariant sub-Laplacians on and c…
Singular integrals on hypergroups and an operator-valued spectral multiplier theorem
Alessio Martini, Paweł Plewa
Let be the Bessel operator on the half-line with measure . In this work we study singular inte…
A sharp multiplier theorem for solvable extensions of Heisenberg and related groups
Alessio Martini, Paweł Plewa
Let be the semidirect product , where is a stratified Lie group and acts on via automorphic dilations. Homogeneous left-invariant sub…
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…
Polynomial ergodic theorems in the spirit of Dunford and Zygmund
Dariusz Kosz, Bartosz Langowski, Mariusz Mirek +1
The main goal of the paper is to prove convergence in norm and pointwise almost everywhere on , , for certain multiparameter polynomial ergodic averages in th…
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…
Sharp Hardy's inequality for orthogonal expansions in spaces
Paweł Plewa
Hardy's inequality on spaces, , in the context of orthogonal expansions is investigated for general basis on a subset of with Lebesgue measure. The…
Sharp Hardy's inequality for Jacobi and symmetrized Jacobi trigonometric expansions
Paweł Plewa
Four Jacobi settings are considered in the context of Hardy's inequality: the trigonometric polynomials and functions, and the corresponding symmetrized systems. In the polynomial…
On Hardy's inequality for Hermite expansions
Paweł Plewa
Sharp multi-dimensional Hardy's inequality for the Laguerre functions of Hermite type is proved for the type parameter $\al\in[-1/2,\infty)^d$. As a consequence we obtain the corre…
Sharp Hardy's type inequality for Laguerre expansion
Paweł Plewa
A method of proving Hardy's type inequality for orthogonal expansions is presented in a rather general setting. Then sharp multi-dimensional Hardy's inequality associated with the…
Hardy's Inequality for Laguerre Expansions of Hermite Type
Paweł Plewa
Hardy's inequality for Laguerre expansions of Hermite type with the index $\al\in(\{-1/2\}\cup[1/2,\infty))^d$ is proved in the multi-dimensional setting with the exponent .…
Local atomic decompositions for multidimensional Hardy spaces
Edyta Kania, Paweł Plewa, Marcin Preisner
We consider a nonnegative self-adjoint operator on , where . Under certain assumptions, we prove atomic characterizations of the Hardy space $$…
Besov and Triebel-Lizorkin spaces associated with Laguerre expansions of Hermite type
Paweł Plewa
Homogeneous Besov and Triebel-Lizorkin spaces associated with multi-dimensional Laguerre function expansions of Hermite type with index $α\in [-1/2,\infty)^d\backslash (-1/2,1/2)^d…