A sharp weighted transplantation theorem for Laguerre function expansions

Weighted Norm Inequalities for the Local Sharp Maximal Function

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Sharp Weighted Inequalities for the Vector–valued Maximal Function

We prove in this paper some sharp weighted inequalities for the vector–valued maximal function Mq of Fefferman and Stein defined by Mqf(x) = ( ∞ ∑ i=1 (Mfi(x)) q )1/q , where M is the Hardy–Littlewood maximal function. As a consequence we derive the main result establishing that in the range 1 < q < p < ∞ there exists a constant C such that ∫ Rn Mqf(x) p w(x)dx ≤ C ∫ Rn |f(x)|qM [ p q ]+1 w(x)d...

On Laguerre Expansions and Systolic Arrays

Discrete-time Laguerre sequences are eeective for representing sequences in the form of orthogonal expansions. The main objective of this communication is to propose a systolic-array implementaion for nite-duration Laguerre expansions.

A sharp weighted Wirtinger inequality

We obtain a sharp estimate for the best constant C > 0 in the Wirtinger type inequality