The Commutators of Bochner-Riesz Operators for Hermite Operator

被引：1
|
作者：
Chen, Peng [1 ]
Lin, Xixi [1 ]
Yan, Lixin [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
Commutators; BMO; Bochner-Riesz means; Hermite operator; Spectral multipliers; SUMMABILITY; BOUNDS;
D O I：
10.1007/s12220-022-01137-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Lp-boundedness of the commutator [b,S delta R(H)](f) = bS delta R(H)f-S delta R(H)(bf)of a BMO function band the Bochner-Riesz means S delta R(H) for Hermite operator H = -? + |x|2 on Rn, n >= 2. We show that if delta > delta(q) = n(1/q -1/2) -1/2, the commutator [b,S delta R(H)]is bounded on Lp(Rn) whenever q < p
引用
收藏
页数：19
相关论文
共 50 条
  • [41] Weighted Estimates in a Limited Range with Applications to the Bochner-Riesz Operators
    Carro, Maria J.
    Duoandikoetxea, Javier
    Lorente, Maria
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2012, 61 (04) : 1485 - 1511
  • [42] A weighted L-2 estimate for the commutator of the Bochner-Riesz operator
    Hu, GE
    Lu, SZ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (10) : 2867 - 2873
  • [43] WEIGHTED NORM INEQUALITIES FOR BOCHNER-RIESZ OPERATORS AND SINGULAR INTEGRAL-OPERATORS
    SHI, XL
    SUN, QY
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (03) : 665 - 673
  • [44] THE BILINEAR BOCHNER-RIESZ PROBLEM
    Bernicot, Frederic
    Grafakos, Loukas
    Song, Liang
    Yan, Lixin
    JOURNAL D ANALYSE MATHEMATIQUE, 2015, 127 : 179 - 217
  • [45] The bilinear Bochner-Riesz problem
    Frédéric Bernicot
    Loukas Grafakos
    Liang Song
    Lixin Yan
    Journal d'Analyse Mathématique, 2015, 127 : 179 - 217
  • [46] On Fejer and Bochner-Riesz Means
    Z. Ditzian
    Journal of Fourier Analysis and Applications, 2005, 11 : 489 - 496
  • [47] A Bochner-Riesz result for a cone
    Marletta G.
    Rendiconti del Circolo Matematico di Palermo, 1999, 48 (3) : 511 - 516
  • [48] Weighted norm inequalities of the maximal commutator of quasiradial Bochner-Riesz operators
    Yong Cheol Kim
    Acta Mathematica Sinica, English Series, 2013, 29 : 1743 - 1756
  • [49] Radial Ap weights with applications to the disc multiplier and the Bochner-Riesz operators
    Duoandikoetxea, Javier
    Moyua, Adela
    Oruetxebarria, Osane
    Seijo, Edurne
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (03) : 1261 - 1281
  • [50] Lp-Lq estimates for the Bochner-Riesz operator of complex order
    Karasev, DN
    Nogin, VA
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2002, 21 (04): : 915 - 929
12345