BMO

作品数：310被引量：371H指数：10
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相关作者：沈兴家唐顺明陈冬香王欣钱平更多>>
相关机构：北京师范大学江苏科技大学中国农业科学院蚕业研究所江西师范大学更多>>
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  • 期刊=Frontiers of Mathematics in Chinax
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Hardy factorization in terms of fractional commutators in Lorentz spaces
《Frontiers of Mathematics in China》2022年第5期853-873,共21页Nguyen Anh DAO 
This research was funded by University of Economics Ho Chi Minh City,Vietnam.
We provide a constructive proof of H^(1)(R^(d))(the classical Hardy space)factorization in terms of fractional commutators in Lorentz spaces.As a direct application,we obtain a characterization of functions in BMO spa...
关键词：BMO CMO Lorentz space COMMUTATOR Hardy space Riesz potentia 
Boundary behavior of harmonic functions on metric measure spaces with non-negative Ricci curvature
《Frontiers of Mathematics in China》2022年第3期455-471,共17页Wanwan YANG Bo LI 
Let(X,d,μ)be a metric measure space with non-negative Ricci curvature.This paper is concerned with the boundary behavior of harmonic function on the(open)upper half-space X×R_(+).We derive that a function f of bound...
关键词：Harmonic function metric measure space BMO Carleson measure 
Oscillation and variation for Riesz transform in setting of Bessel operators on H1 and BMO
《Frontiers of Mathematics in China》2020年第4期617-647,共31页Xiaona CUI Jing ZHANG 
This work was supported in part by the Doctoral Scientific Research of Yili Normal University(No.2017YSBS09).
Letλ〉0,and let the Bessel operator△λ:=-d2/dx2-2λ/x d/dx defined on R+:=(0,∞).We show that the oscillation andρ-variation operators of the Riesz transform R△λassociated with△λare bounded on BMO(R+,dmλ),wher...
关键词：Oscillation operator variation operator Bessel operator 
Weighted estimates for bilinear square functions with non-smooth kernels and commutators被引量：1
《Frontiers of Mathematics in China》2020年第1期1-20,共20页Rui BU Zunwei FU Yandan ZHANG 
This work was supported by the National Natural Science Foundation of China(Grant Nos.11671185,11571306,11671363,11771195);the Natural Science Foundation of Shandong Province(Grant Nos.ZR2018PA004,ZR2016AB07,ZR2018LA002,ZR2019YQ04).
Under weaker conditions on the kernel functions,we discuss the boundedness of bilinear square functions associated with non-smooth kernels on the product of weighted Lebesgue spaces.Moreover,we investigate the weighte...
关键词：BILINEAR square FUNCTION NON-SMOOTH kernel weight COMMUTATOR BMO FUNCTION 
Multilinear Calderon-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces被引量：2
《Frontiers of Mathematics in China》2017年第5期1235-1246,共12页Wei WANG Jingshi XU 
The first author was supported by the TianYuan Special Funds of the National Natural Science Foundation of China （Grant No. 11426221） and the High Level Introduction of Talent Research Start-up Fund by Central South University of Forestory and Technology （Grant No. 1040212）; the second author was supported by the National Natural Science Foundation of China （Grant No. 11361020）.
The boundedness of multilinear Calderdn-Zygmund operators and their commutators with bounded mean oscillation （BMO） functions in variable exponent Morrey spaces are obtained.
关键词：Multilinear CalderSn-Zygmund operator bounded mean oscillation（BMO） function COMMUTATOR Morrey space variable exponent 
An equivalent characterization of BMO with Gauss measure被引量：1
《Frontiers of Mathematics in China》2017年第3期749-768,共20页Zhehui WANG Dongyong YANG 
This work was supported by the National Natural Science Foundation of China of China （Grant No. 11571289）.
Let γ be the Gauss measure on Rn. We establish a Calderon- Zygmund type decomposition and a John-Nirenberg type inequality in terms of the local sharp maximal function and the median value of function over cubes. As ...
关键词：BMO John-Nirenberg inequality Gauss measure median value Calderon-Zygmund decomposition sharp maximal function 
Approximations for modulus of gradients and their applications to neighborhood filters被引量：1
《Frontiers of Mathematics in China》2013年第4期761-782,共22页Yan CHEN Zhuangji WANG Kewei ZHANG 
We define an integral approximation for the modulus of the gradient ｜ u（x）｜ for functions f： Ω C Rn → R by modifying a classical result due to Calderon and Zygmund. Our integral approximations are more stable ...
关键词：BMO modulus of gradient harmonic analysis and PDE neighborhood filter image processing 
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