1) Carleson operator
Carleson算子
1.
The following theorem be obtained that the Carleson operator C is of the weak(p,q) type if and only if there exists constant A>0 such that the following estimate ‖C_n f‖_(L(q,∞))≤A‖f‖_p holds for all bounded function n:R →R,which is an infinite(or finite) linear combination of characteristic functions of intervals.
讨论了Carleson算子C的线性化问题,证明了下面的结论:设1≤p,q<∞,则Carleson算子C为弱(p,q)型的A>0,s。
2) Carleson measure
Carleson测度
1.
Inequality to describe double Carleson measure and description of Carleson inverse inequality;
双Carleson测度的积分不等式及对Carleson逆不等式的刻画
2.
Carleson measure and Carleson measure in weighted Bergman space;
Carleson测度与加权Bergman空间上的Carleson测度
3.
The bounded property of a operator and the description of Carleson measure with BMO_ function;
算子有界性及BMO_函数对Carleson测度的刻画
4) K-Carleson measure
K-Carleson测度
1.
In this paper,we use K-Carleson measure to discuss the bounded composition operators from Bα(Bα0) to QK and the bounded and compact composition operators from Bα to QK,0.
用K-Carleson测度刻画了Bα(B0α)到QK的复合算子的有界性,以及Bα到QK,0的复合算子的有界性和紧性。
2.
The second part of the paper gives the distance formulas from Bloch functions to some Q_K-type spaces,which are characterized by using the K-Carleson measure.
第二部分利用K-Carleson测度刻划出了Bloch函数到Q_K型函数空间的距离,其中包含本文的主要定理及其证明。
5) η-Carleson measure
η-Carleson测度
1.
Some sufficient and necessary conditions for the composition operators between different Privalov spaces and different weighted Bergman-Privalov spaces to be metrically bounded or metrically compact are given by usingη-Carleson measure, and some function theoretic characterizations are also given.
利用η-Carleson测度给出了单位球上不同Privalov以及不同加权Bergman-Privalov空间之间的复合算子是度量有界或度量紧的充要条件,并给出了一些函数理论方面的刻画。
6) Carleson square
Carleson方块
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条