The Hardy-Littlewood-Polya inequality of majorization in the context of w-m-star-convex functions

Hardy-Littlewood-Polya's inequality and a new concept of weak majorization

In this paper we study some weak majorization properties with applications for the trees. A strongly notion of majorization is introduced and Hardy-Littlewood-Polya's inequality is generalized.

Hardy-Littlewood-Pólya算子的尖锐弱界与多线性积分算子的弱界

Sharp weak bounds for the Hardy-Littlewood-Pólya operator and the weak bounds for the multilinear integral operator

本文获得了n维Hardy-Littlewood-Pólya算子从加权Lebesgue空间到加权弱Lebesgue空间的算子范数，以及m线性n维积分算子的弱界。

Heisenberg群上Morrey空间中m-线性n维Hardy-Littlewood-Pólya算子的尖锐界

Sharp bound for m-linear $n$-dimensional Hardy-Littlewood-Polya operator in Morrey space on Heisenberg group

本文在Heisenberg群上的Morrey空间中，获得了m-线性n维Hardy-Littlewood-Pólya算子及Hilbert算子的尖锐界。

$l^{p}-L^{q}$ 有界性的序列到函数 Hardy-Littlewood-Pólya 型算子

$l^{p}-L^{q}$ boundedness of sequence-to-function Hardy-Littlewood-Pólya-type operators

本文完全刻画了广义序列到函数Hardy-Littlewood-Pólya型算子在所有(p,q)上的l^p-L^q有界性，补充了已有结果，方法基于广义Schur检验。

Maximal function, Littlewood--Paley theory, Riesz transform and atomic decomposition in the multi-parameter flag setting

In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood--Paley square function and area integral, Riesz transforms and the atomic decomposition in the multi-parameter flag setting. The novel ingredients in this paper include (1) establishing appropriate discrete Calderón reproducing formulae in the flag setting and a version of the Plancherel--Pólya inequalities for flag quadratic forms; (2) introducing the maxi…