关于H?lder正则性的一个注记
관우H?lder정칙성적일개주기
A note on H?lder regularity
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2013年 5期 477-483 ,共7页

    胡琳%邢春峰%李林杉

    호림%형춘봉%리림삼

    H?lder空间%Littlewood-Paley分解%等价性 H?lder空間%Littlewood-Paley分解%等價性
    H?lder공간%Littlewood-Paley분해%등개성
    H?lder space%Littlewood-Paley decomposition%equivalence
    H?lder 正则性在图像消噪、信号重构等方面都具有重要意义。本文对H?lder 空间的两种定义进行研究分析，利用归纳法和 Littlewood-Paley 分解方法证明了两种H?lder定义在一定条件下还是等价的，为H?lder正则性的应用提供了理论依据。
    H?lder 정칙성재도상소조、신호중구등방면도구유중요의의。본문대H?lder 공간적량충정의진행연구분석，이용귀납법화 Littlewood-Paley 분해방법증명료량충H?lder정의재일정조건하환시등개적，위H?lder정칙성적응용제공료이론의거。
    H¨older regularity plays an important part in various signal processing applications such as denoising and reconstruction. With the help of Littlewood-Paley decomposition technique, equivalence of two definitions for H¨older space is proved which is the theoretical basis for the application of H¨older regularity.
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