BMO亚纯函数,Normal函数和Carleson测度

In this paper, we introduce H_N measure and H_B measure . A criterion for N (f∈B) is obtained in terms of the H_N measure (H_B measure) . We also study Carleson measure and BMOM . Several equivalent conditions for a function to be in BMOM or VMOM are proved .     

A Note on Property(ω)

In this note we study the property(ω),a variant of Weyl's theorem introduced by Rakoevic,by means of the new spectrum.We establish for a bounded linear operator defined on a Banach space a necessary and sufficient condition for which both property(ω) and approximate Weyl's theorem hold.As a consequence of the main result,we study the property(ω) and approximate Weyl's theorem for a class of operators which we call the λ-weak-H(p) operators.     

关于R~n中实单位球上M—调和BMO函数的Carleson测度特征

本文讨论了实单位球上的平均有界振动M—调和函数的Carleson测度特征,证明了Mobius不变调和函数f(x)属于BMOH或VMOH当且仅当dμ(x)=(1-|x|~2)|f(x)|~2dv(x)是Carleson测度或紧Carleson测度。     

Littlewood-Paley Formulas and Carleson Measures for Weighted Fock Spaces Induced by A ∞ $A_{\infty }$ -Type Weights

Potential Analysis - We obtain Littlewood-Paley formulas for Fock spaces ${\mathcal {F}}_{\beta ,\omega }^{q}$ induced by weights $\omega \in {A}_{\infty }^{restricted} = \cup _{1 \le p <...     

A characterization of λ-central BMO space

We give a characterization of the λ-central BMO space via the boundedness of commutators of n-dimensional Hardy operators.     

A new look at the John–Nirenberg and John–Strömberg theorems for BMO

We develop some techniques for studying various versions of the function space BMO. Special cases of one of our results give alternative proofs of the celebrated John–Nirenberg inequality and of related inequalities due to John and to Wik. Our approach enables us to pose a simply formulated “geometric” question, for which an affirmative answer would lead to a version of the John–Nirenberg inequality with dimension free constants.     

A Rudin–Carleson theorem for planar vector fields

This paper generalizes the Rudin–Carleson theorem for homogeneous solutions of locally solvable real analytic vector fields.     

Characterizations of BMOφ(w)

In this paper we give two characterizations of functions with weighted mean oscillation over cubes controlled by a nonnegative function , that is, functions in BMO(w). The first characterization is formulated in terms of rearrangements, while the second one by means of Riesz transforms and -Lipschitz functions. These results extend those contained in [S] and [J].     

A Note on the BMO Space with Non-doubling Measure

Let μi be a positive Radon measure which only satisfies an appropriate growth condition, and RBMO(μ) be the BMO space associated with μ which was introduced by Tolsa. In this paper, it is proved that the definition of RBMO(ρ) can be weakened sufficiently.     

(ω)性质的判定

利用新定义的谱集,刻画了Hilbert空间上有界线性算子满足(ω_1)性质和(ω)性质的等价条件.另外,利用该谱集,对算子函数的(ω)性质进行了判定.     

Lω-空间的拟ω-Lindel(o)f性

在Lω-空间中引入拟ω-Lindel(o)f性的概念,讨论拟ω-Lindel(o)f性的一些基本性质,给出拟ω-Lindel(o)f性的几个等价刻画.     

A Class of ∗-Simple Type $A$ $ω^2$ -Semigroups (I)

In this paper, we study ∗-simple type $A$ $ω^2$-semigroups in which$\mathcal{D}^∗ =\widetilde{D}$and $\mathcal{D}^∗|_{E_S} = \mathcal{M}_d$ by the generalized Bruck-Reilly extension and obtain its structure theorem. We also obtain a criterion for isomorphisms of two such semigroups.     

广义(ω)性质的一个注记

通过定义新的谱集,研究了Weyl定理的一个变形—广义(w)性质,给出了Banach空间上有界线性算子满足广义(w)性质的充要条件.同时,利用所得的主要结论,我们研究了广义(w)性质的摄动.     

A Class of Lévy Driven SDEs and their Explicit Invariant Measures

We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.     

ζ_(ω_1ω)语言格值模型论的Malitz插值定理

本文利用和谐性质的方法，证明了ζ＿（ω＿１ω）语言格值模型论的Ｍａｌｉｔｚ插值定理，并给出了有意义的应用。     

从函数y=A sin(ωx+φ)图象的对称轴方程谈起

1991年理工类和文史类的高考试卷中都有下面这道试题: 函数y=sin(2x+5π/2)的图象的一条对称轴方程是(A) x=-π/2 (B) x=-π/4 (C) x=π/8 (D) x=5π/4 抽样统计分析结果显示,这一试题理工类考生的通过率仅为0.42,文史类考生的通过率仅为0.35,在第一大题(选择题)的15个试题中,通过率都位居倒数第二。反映考生对函数y=A sin(ωx+φ)的图象和基本性质掌握得不牢固,不熟练,不灵活。     

A mixed formulation of the Stokes equation in terms of (ω,p,u)

The aim of this paper is to give a mixed formulation of the Stokes problem of fluid mechanics in terms of the vorticity, the pressure and the velocity that does not need an artificial boundary condition for vorticity but only the usual compatibility conditions between the pressure space and the velocity space. This revised version was published online in June 2006 with corrections to the Cover Date.