Orlicz范数下的Hardy-Hilbert不等式

给出了Orlicz范数下的Hardy-Hilbert不等式的一种形式,建立了当N-函数M(u)及其余N-函数N(u)均满足Δ′条件时Orlicz范数下的积分型及双级数型Hardy-Hilbert不等式.     

A regularity result for a minimum problem in orlicz-sobolev spaces with applications in the study of the dirichlet problem for the operator of hencky-nadai theory

The existence and uniqueness of the solution to the problem of minimum for functionals generated by N- functions are obtained in Orlicz-Sobolev spaces. Applications for some functionals dealing with Hencky theory are given.     

Orlicz型序列空间的暴露性

对赋Luxember范数或Orlicz范数的Orlicz型序列空间,诸如古典的、广义的及参数式的,本文总结、补充、比较列出了暴露点及暴露性的充分必要刻画,并对以往结果中的错误进行了修正,从而在序列空间方面系统地完成了有关暴露性的刻画。     

关于T.J.Rivlin的一个问题

本文在连续函数空间内按两种范数‖·‖_Ｍ（Ｏｒｌｉｃｚ范数）和‖·‖_(Ｍ)（Ｌｕｘｅｍｂｕｒｇ范数分别解决了Ｔ．Ｊ．Ｒｉｖｌｉｎ的一个问题     

齐型空间上的Orlicz Morrey空间极大算子有界性

In this paper, the characterization of boundedness of Hardy-Littlewood maximal operators in Orlicz-Morrey spaces L^Фψ（X,μ） of homogeneous type is founded.     

On a Pair of Geometric Parameters of Orlicz Norm

Let be a pair of complementary N--funCtions, where gh and op are the right deriVatives of. andW respectively Defineandas in Wull1. Clearly, 1 5 Q. 5 oo for every .(u). Wangl'j and Wu, Chen and Wangl']showed that. E V2(0) if and only if Q. < oo and. E A2(0) if and ouly if q. > l. for andRenl4] utilized the parameter Q. when they Offered the fonwig esthoation of KOttmanconstants of the Orlicz sequence space l. equlpped with Orlicz norm:whereChen showed that (see [5, p.211)wherefor and …