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