Some Bounded Results of θ(t)-Type Singular Integral Operators
-
摘要: 讨论了θ(t)型奇异积分算子在Banach值LBp(Rn),(1≤p<+∞)空间上的有界性,以及在Banach值Hardy空间HB1(Rn)上的有界性.
-
关键词:
- θ(t)型奇异积分算子 /
- LBp(Rn)空间 /
- HB1(Rn)空间
Abstract: Let B be a Banach space in UMD with an unconditional basis. The boundedness of the θ(t) -type singular integral operators in LBp(Rn), (1≤p<+∞) and HB1(Rn) spaces are discussed.-
Key words:
- θ(t) -type singular integral operators /
- LBp(Rn) space /
- HB1(Rn) space
-
[1] Bourgain J.Extension of a result of Benedek,Calderón and Panzone[J].Ark for Mat,1984,22(1):91~95. [2] 韦旦.一类奇异积分算子在Banach空间值Hardy空间上的有界性[J].数学物理学报,1997,17(2):235~240. [3] 赵凯.On generalized Calderón-Zygmund operators[J].数学研究与评论,1995,15(2):211~215. [4] José L,Rubio de Francia.Fourier series and Hilbert transforms with values in UMD Banach spaces[J].Studia Math,1985,81(1):95~105. [5] 彭立中.广义Caldern-Zygmund算子及其加权模不等式[J].数学进展,1985,14(2):97~115. [6] 邓东皋,韩永生.Hp空间论[M].北京:北京大学出版社,1992. [7] 赵凯.向量值函数的奇异积分算子[J].青岛大学学报(自然),1992,5(1):41~49. [8] Stein E M.Singular Integrals and Differentiability Properties of Functions[M].Princeton N J:Princeton University Press,1970.
计量
- 文章访问数: 2467
- HTML全文浏览量: 144
- PDF下载量: 614
- 被引次数: 0