BMO

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THE WEIGHTED KATO SQUARE ROOT PROBLEMOF ELLIPTIC OPERATORS HAVING A BMOANTI-SYMMETRICPART
《Acta Mathematica Scientia》2024年第2期532-550,共19页马文贤 杨四辈 
supported by the Key Project of Gansu Provincial National Science Foundation(23JRRA1022);the National Natural Science Foundation of China(12071431);the Fundamental Research Funds for the Central Universities(lzujbky-2021-ey18);the Innovative Groups of Basic Research in Gansu Province(22JR5RA391).
Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted...
关键词：elliptic operator Kato square root problem Muckenhoupt weight Riesz transform reverse Hölder inequality 
CARLESON MEASURES AND THE GENERALIZED CAMPANATO SPACES OF VECTOR-VALUED MARTINGALES被引量：2
《Acta Mathematica Scientia》2018年第6期1779-1788,共10页Lin YU Ruhui WANG Shoujiang ZHAO 
supported by National Natural Science Foundation of China(11601267)
In this paper, the so-called（p,Ф）-Carleson measure is introduced and the rela-tionship between vector-valued martingales in the general Campanato spaces Lp,Ф（X） and the （p, Ф）-Carleson measures is investigate...
关键词：Carleson measures BMO martingales generalized Campanato spaces uni-formly convex （smooth） Banach spaces 
L^p BOUNDEDNESS OF COMMUTATOR OPERATOR ASSOCIATED WITH SCHRDINGER OPERATORS ON HEISENBERG GROUP被引量：3
《Acta Mathematica Scientia》2012年第2期568-578,共11页李澎涛 彭立中 
supported by NSFC 11171203, S2011040004131;STU Scientific Research Foundation for Talents TNF 10026;supported by NSFC No.10990012,10926179;RFDP of China No.200800010009
Let L = -△Hn ＋ V be a SchrSdinger operator on Heisenberg group Hn, where AHn is the sublaplacian and the nonnegative potential V belongs to the reverse HSlder class BQ/2 where Q is the homogeneous dimension of Hn. L...
关键词：COMMUTATOR BMO Heisenberg group BOUNDEDNESS Riesz transforms as-sociated to SchrSdinger operators 
ENDPOINT ESTIMATES FOR FRACTIONAL INTEGRAL ASSOCIATED TO SCHRDINGER OPERATORS ON THE HEISENBERG GROUPS被引量：2
《Acta Mathematica Scientia》2011年第3期993-1000,共8页江寅生 
Supported by NSF of China(10861010)
Let ∠= -△Hn＋ V be the Schrdinger operator on the Heisenberg groups Hn,where V is a nonnegative function satisfying the reverse Hlder inequality. In this article, the author obtains the BMO_∠ and BLO_∠ estimates o...
关键词：Schrdinger operator Heisenberg group BMO_∠ BLO_∠ fractional integral 
COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS被引量：11
《Acta Mathematica Scientia》2005年第1期137-144,共8页邓东皋 颜立新 
ProjectsupportedbyNSFofChina(1017111,10371134)theFoundationofAdvancedResearchCenter,ZhongshanUniversity
Let T be a singular integral operator bounded on Lp(Rn) for some p, 1 < p < ∞. The authors give a sufficient condition on the kernel of T so that when b ∈BMO, the commutator [b,T](f) = T(bf) - bT(f) is bounded on th...
关键词：COMMUTATOR BMO singular integrals semigroup kernel 
CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS被引量：2
《Acta Mathematica Scientia》2001年第3期339-349,共11页江寅生 唐林 杨大春 
Tang Lin and Yang Dachun are supported in part by the NNSF and the SEDF of China.
Let p is an element of (n/(n + 1), 1]. The authors investigate the (H-b(p)(R-n), L-p(R-n))-type and (H-b(p,infinity)(R-n), L-p,L-infinity(R-n))-type continuities for the maximal operators associated with the commutato...
关键词：Bochner-Riesz operator BMO(R-n) COMMUTATOR maximal operator Hardy space and weak Hardy space 
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRATI ON ONHERZ-TYPE SPACES被引量：1
《Acta Mathematica Scientia》2000年第4期461-470,共10页刘宗光 
This paper establishes some strong type and weak type estimates for commutator [b,I1] on Herz-type spaces, where b E BMO(Rn) and I1 is a fractional integration with O < l < n.
关键词：Herz space weak Herz space Herz-type Hardy space fractional integration BMO(Rn) function COMMUTATOR 
A REMARK ON A BMO MARTINGALE
《Acta Mathematica Scientia》2000年第4期511-514,共4页向开南 
Research supported in part by CNSF, Tianyuan foundation,;the Mathematical Center of Ministry of Education
In this paper, a negative answer to a question raised by Durrett(1984)[1] about a BMO martingale is given.
关键词：Continuous martingale uniformly integrable BMO martingale 
SOME NEW RESULTS ON MARTINGALE INEQUALITIES AND GEOMETRY IN BANACH SPACES被引量：4
《Acta Mathematica Scientia》1992年第1期22-32,共11页刘培德 
Project supported by the National Natural Science Foundation of China.
Here we shall state some new results in Banach-space-valued martingale theory and the geometry of Banach spaces which have been obtained since 1986. The topics covered include investigations on nine parts: (1) A basic...
关键词：BMO UMD 
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