Weighted norm inequalities of the maximal commutator of quasiradial Bochner-Riesz operators

被引：0
作者：
Yong Cheol Kim
机构：
[1] Korea University,Department of Mathematics Education
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Commutator; quasiradial Bochner-Riesz operators; weighted norm inequalities; 42B20; 35J05;
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摘要：
In this paper, we obtain certain Lwp(ℝn)-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σϱd, provided that δ > (n − 1)/2, b ∈ BMO(ℝn), 1 < p < ∞ and w ∈ A1. Moreover, if δ > (n − 1)/2, then we prove that the above maximal operator admits weak type (Hw1(ℝn), Lw1(ℝn))-mapping properties for b ∈ BMO(ℝn) and w ∈ A1 under the surface condition on Σϱd.
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页码：1743 / 1756
页数：13
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共 20 条
  • [1] Álvarez J(1993)Weighted estimates for commutators of linear operator Studia Math. 104 195-209
  • [2] Bagby R J(1988)Weak type (1, 1) bounds for rough operators Ann. of Math. 128 19-42
  • [3] Kurtz D S(1978)Au del`a des opérateurs pseudo-différentiels Astérisque 57 185-635
  • [4] Christ M(1976)Factorization theorems for Hardy spaces in several variables Ann. of Math. 103 611-63
  • [5] Coifman R R(1979)Weighted Dissertations Math. 162 1-203
  • [6] Meyer Y(2003) spaces Canad. Math. Bull. 46 191-280
  • [7] Coifman R R(2008)Weak type estimates of the maximal quasiradial Bochner-Riesz operator on certain Hardy spaces J. Math. Anal. Appl. 339 266-69
  • [8] Rochberg R(2003)Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces Publ. Math. 47 45-185
  • [9] Weiss G(1995)Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator J. Funct. Anal. 128 163-673
  • [10] Garcia-Cuerva J(1992)Endpoint estimates for commutators of singular integral operators Proc. Amer. Math. Soc. 116 665-1295
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