Properties of Functions in the Wiener Class BVp[a, b] for 0<p<1. (6th April 2015)

• Record Type: Journal Article
• Authors: Niu, Yeli; Wang, Heping
• Other Names: Banaś Józef Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-04-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/630137
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We will investigate properties of functions in the Wiener classB V p [ a, b ] with0 < p < 1 . We prove that any function inB V p [ a, b ] ( 0 < p < 1 ) can be expressed as the difference of two increasing functions inB V p [ a, b ] . We also obtain the explicit form of functions inB V p [ a, b ] and show that their derivatives are equal to zero a.e. on[ a, b ] .