On Kakeya's 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...

On the Adjoint of the Maximal Function

Effects of remote limb ischemic preconditioning on pulmonary function tests and maximal oxygen uptake

Introduction: Ischemic preconditioning (IPC) protects skeletal muscles from ischemia-reperfusion injury and improves physical exercise performance. The purpose of the present study was to determine whether application of remote ischemic preconditioning (RIPC) of upper limbs would affect the pulmonary function tests and the maximal oxygen consumption (VO2max). Methods: Twenty healthy trained...

Posets with maximal Möbius function

The absolute value of the Möbius function of a bounded poset P with n + 2 elements satisfies |μ(P )| ≤ max r≥0 max p1+...+pr=n pi≥1 r ∏

Convolution and Maximal Function For

For a family of weight functions, hκ, invariant under a finite reflection group on R, analysis related to the Dunkl transform is carried out for the weighted L spaces. Making use of the generalized translation operator and the weighted convolution, we study the summability of the inverse Dunkl transform, including as examples the Poisson integrals and the Bochner-Riesz means. We also define a m...