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math.CA2019
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…
math.CA2019★ 3 cited
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…