Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions

被引：0
作者：
Zunwei Fu
Elodie Pozzi
Qingyan Wu
机构：
[1] Linyi University,School of Mathematics and Statistics
[2] Qufu Normal University,School of Mathematical Sciences
[3] Saint Louis University,Department of Mathematics and Statistics
来源：
Frontiers of Mathematics in China | 2022年 / 17卷
关键词：
Maximal function; space of homogeneous type; BMO space; weight; commutator; 42B35; 30L99; 42B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new characterizations of the weighted BMO space. Finally, a concrete example shows that the local version of commutators also has an independent interest.
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页码：625 / 652
页数：27
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共 71 条
  • [1] Agcayazi M(2015)A note on maximal commutators and commutators of maximal functions J Math Soc Japan 67 581-593
  • [2] Gogatishvili A(2007)Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type J Approx Theory 148 12-34
  • [3] Koca K(2013)Orthonormal bases of regular wavelets in spaces of homogeneous type Appl Comput Harmon Anal 34 266-296
  • [4] Mustafayev R(2000)Commutators for the maximal and sharp functions Proc Amer Math Soc 128 3329-3334
  • [5] Aimar H(1985)Weights and Pacific J Math 120 33-45
  • [6] Bernardis A(2013) log J Funct Anal 265 2420-2451
  • [7] Iaffei B(2003)BMO from dyadic BMO via expectations on product spaces of homogeneous type J Math Anal Appl 282 553-566
  • [8] Auscher P(1976)Endpoint estimates for commutators of singular integrals on spaces of homogeneous type Ann of Math (2) 103 611-635
  • [9] Hytönen T(1977)Factorization theorems for Hardy spaces in several variables Bull Amer Math Soc 83 569-645
  • [10] Bastero J(1985)Extensions of Hardy spaces and their use in analysis Rev Mat Iberoam 1 1-56
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