Estimates ofLpModulus of Continuity of Generalized Bounded Variation Classes-Reference-Cited by-同舟云学术

Estimates ofLpModulus of Continuity of Generalized Bounded Variation Classes

Published:2014 Issue: Volume:2014 Page:1-13
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Wang Heping¹^ORCID,Wu Zhaoyang²

Affiliation:

1. School of Mathematical Sciences, BCMIIS, Capital Normal University, Beijing 100048, China

2. NO. 2 Middle School of Changping, Beijing 102208, China

Abstract

Some sharp estimates of theLp1≤p<∞modulus of continuity of classes ofΛφ-bounded variation are obtained. As direct applications, we obtain estimates of order of Fourier coefficients of functions ofΛφ-bounded variation, and we also characterize some sufficient and necessary conditions for the embedding relationsHpω⊂ΛφBV. Our results include the corresponding known results of the classΛBVas a special case.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2014/201801.pdf

Reference25 articles.

1. On convergence of Fourier series of functions of generalized bounded variation

2. Absolute convergence of Fourier series of functions of λBV(p) and ϕλBV

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