Sharp L(p)-L(q) estimates for a class of averaging operators

被引:13
|
作者
Iosevich, A [1 ]
Sawyer, E [1 ]
机构
[1] MCMASTER UNIV,DEPT MATH & STAT,HAMILTON,ON L8S 4K1,CANADA
关键词
averaging operators; hypersurfaces; homogeneous functions;
D O I
10.5802/aif.1553
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Sharp L(p) - L(q) estimates are obtained for averaging operators associated to hypersurfaces in R(n) given as graphs of homogeneous functions. An application to the regularity of an initial value problem is given.
引用
收藏
页码:1359 / &
页数:27
相关论文
共 50 条
  • [41] Sharp L2 estimates for one-dimensional oscillatory integral operators with C∞ phase
    Greenblatt, M
    AMERICAN JOURNAL OF MATHEMATICS, 2005, 127 (03) : 659 - 695
  • [42] WEIGHTED L-p - L-q ESTIMATES OF THE STOKES SEMIGROUP IN SOME UNBOUNDED DOMAINS
    Kobayashi, Takayuki
    Kubo, Takayuki
    TSUKUBA JOURNAL OF MATHEMATICS, 2013, 37 (02) : 179 - 205
  • [44] ON THE L-p-BOUNDEDNESS OF A CLASS OF SEMICLASSICAL FOURIER INTEGRAL OPERATORS
    Elong, Ouissam
    Senoussaoui, Abderrahmane
    MATEMATICKI VESNIK, 2018, 70 (03): : 189 - 203
  • [45] L log L Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space
    Chang, YunPeng
    Yu, LiangJuan
    Sun, LinQi
    Xia, HuangZhi
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (04)
  • [46] On the class of almost (L) limited operators
    Oughajji, Fatima Zahra
    El Fahri, Kamal
    Moussa, Mohammed
    ACTA SCIENTIARUM MATHEMATICARUM, 2021, 87 (1-2): : 207 - 218
  • [47] L∞-ESTIMATES FOR DIVERGENCE OPERATORS ON BAD DOMAINS
    ter Elst, A. F. M.
    Rehberg, Joachim
    ANALYSIS AND APPLICATIONS, 2012, 10 (02)
  • [48] Derivative estimates of averaging operators and extension
    Junyan Zhao
    Dashan Fan
    Frontiers of Mathematics in China, 2019, 14 : 475 - 491
  • [49] On the class of almost (L) limited operators
    Fatima Zahra Oughajji
    Kamal El Fahri
    Mohammed Moussa
    Acta Scientiarum Mathematicarum, 2021, 87 : 207 - 218
  • [50] Derivative estimates of averaging operators and extension
    Zhao, Junyan
    Fan, Dashan
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (02) : 475 - 491