| 邱司纲.Littlewood—Paley算子及Marcinkiewicz积分在Campanato空间εa,p上的有界性(英文)[J].数学研究及应用,1992,12(1):41~50 |
| Littlewood—Paley算子及Marcinkiewicz积分在Campanato空间εa,p上的有界性(英文) |
| Boundedness of Littlewood-Paley Operators and Marcinkiewicz Integral on εa,p |
| 投稿时间：1990-06-09 |
| DOI：10.3770/j.issn:1000-341X.1992.01.007 |
| 中文关键词: |
| 英文关键词: |
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| 摘要点击次数: 1977 |
| 全文下载次数: 1382 |
| 中文摘要: |
| 我们证明了下述结果:若f∈εa,p,则适当限制参数值时,有g(f)(x)(S(f)(x),gλ*(f)(x),μ(f)(x))<∞a.e.,或者g(f)(x)(S(f)(x),gλ*(f)(x),μ(f)(x))<∞a.e.;并且在前者成立时,有g(f)(S(f),gλ*(f),μ(f))∈εa,p,以及‖g(f)‖a,p |
| 英文摘要: |
| In this paper, we shall show that if ∈εa,p, then either g(f)(x)(s(f)(x),gλ*(f)(x),μ(f)(x))<∞ almost everywhere, or g(f)(x)(s(f)(x),gλ*(f)(x),μ(f)(x))<∞ almost everywhere. Furthermore, if g(f)(x)(s(f)(x),gλ*(f)(x),μ(f)(x))<∞ almost everywhere,then g(f)(s(f),gλ*(f),μ(f))∈εa,p and there is a constant C independent of f and x, so that ‖g(f)‖a,p,(‖s(f)‖a,p,‖gλ*(f)‖a,p,‖μ(f)‖a,p)≤C‖f‖a,p. |
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