Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes. (4th May 2014)

• Record Type: Journal Article
• Authors: Wang, Heping; Wu, Zhaoyang
• Other Names: Banaś Józef Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-05-04
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/201801
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Some sharp estimates of theL p 1 ≤ p < ∞ modulus of continuity of classes ofΛ φ -bounded variation are obtained. As direct applications, we obtain estimates of order of Fourier coefficients of functions ofΛ φ -bounded variation, and we also characterize some sufficient and necessary conditions for the embedding relationsH p ω ⊂ Λ φ B V . Our results include the corresponding known results of the classΛ B V as a special case.