6 citations · 17 across the 14 of their papers we have counts for
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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…