Maximal Inequalities for the Best Approximation Operator and Simonenko Indices  

作　　者：Sonia Acinas Sergio Favier 

机构地区：[1]Instituto de Matematica Aplicada San Luis,IMASL,Universidad Nacional de San Luis and CONICET,Ejercito de los Andes 950,D5700HHW San Luis,Argentina [2]Departamento de Matematica,Facultad de Ciencias Exactas y Naturales,Universidad Nacional de La Pampa,L6300CLB Santa Rosa,La Pampa,Argentina [3]Departamento de Matematica,Universidad Nacional de San Luis,D5700HHW San Luis,Argentina

出　　处：《Analysis in Theory and Applications》2017年第3期253-266,共14页分析理论与应用（英文刊）

基　　金：supported by Consejo Nacional de Investigaciones Científicas y Técnicas(CONICET)and Universidad Nacional de San Luis(UNSL)with grants PIP 11220110100033CO and PROICO 317902

摘　　要：In an abstract set up, we get strong type inequalities in L^p＋1 by assuming weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results to get strong inequal- ities for maximal functions associated to best Ф-approximation operators in an Orlicz space L^Ф.In an abstract set up, we get strong type inequalities in L^p＋1 by assuming weak or extra-weak inequalities in Orlicz spaces. For some classes of functions, the number p is related to Simonenko indices. We apply the results to get strong inequal- ities for maximal functions associated to best Ф-approximation operators in an Orlicz space L^Ф.

关 键 词：Simonenko indices maximal inequalities best approximation. 

分 类 号：O178[理学—数学]