齐型空间上的一类积分算子

在齐型空间上讨论由分数次积分算子、奇异积分算子及ＢＭＯ函数所构成的几类Ｔｏｅｐｌｉｔｚ型算子的有界性．     

WEIGHTED L^p BOUNDEDNESS FOR MULTILINEAR FRACTIONAL INTEGRAL ON PRODUCT SPACES

For 0 〈 α 〈 mn and nonnegative integers n ≥ 2, m≥ 1, the multilinear fractional integral is defined bywhere →y= （y1, Y2,…, ym） and 7 denotes the m-tuple （f1, f2,…, fm）. In this note, the one- weighted and two-weighted boundedness on Lp （JRn） space for multilinear fractional integral operator I（am） and the fractional multi-sublinear maximal operator Mα（m） are established re- spectively. The authors also obtain two-weighted weak type estimate for the operator Mα（m）.     

TOEPLITZ-TYPE OPERATORS ON LEBESGUE SPACES

Let L be the infinitesimal generator of an analytic semigroup on L 2 (Rn)with Gaussian kernel bounds,and L-α/ 2 be the fractional integrals generated by L for 0< α     

WEAK TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED NON-HOMOGENEOUS MORREY SPACES

We obtain weak type (1,q) inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces.The proofs use some properties of maximal operators.Our results are closely related to the strong type inequalities in [13,14,15].     

GLOBAL APPROXIMATION FOR A CLASS OF GENERALIZED MIXED EXPONENTIAL TYPE INTEGRAL OPERATORS IN POLYNOMIAL WEIGHT SPACES

It is shown that a class of generalized mixed exponential type integral operatos on direct theorem of approximation and inverse theorem of approximation hold in CN(I).     

AREA FUNCTIONS ON HARDY SPACES ASSOCIATED TO SCHR(O)DINGER OPERATORS

In this paper, the author gives a characterization of atomic Hardy spacesassociated to Schrodinger operators by using area functions, and hence gets the dual spacesof atomic Hardy spaces.     

COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES

Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredholm operators and spectra of composition operators.     

THE BOUNDEDNESS FOR A CLASS OF ROUGH FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT LEBESGUE SPACES

In this paper,we will discuss the behavior of a class of rough fractional integral operators on variable exponent Lebesgue spaces,and establish their boundedness from L p 1 (·) (R n) to L p 2 (·) (R n).     

Hardy空间上一类带可变核的积分算子

本文给出了一类带可变核的奇异积分算子的（Hp,Lp）有界性及分数次积分算子的（Hp,Lq）有界性（0相似文献   

INTERIOR ESTIMATES IN MORREY SPACES FOR SOLUTIONS OF ELLIPTIC EQUATIONS AND WEIGHTED BOUNDEDNESS FOR COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

It is proved that, for the nondivergence elliptic equations ∑in, j=1 aijuxixj = f,if f belongs to the generalized Morrey spaces Lp,ψ(ω), then uxixj ∈ Lp,ψ(ω), where u is the W2,p-solution of the equations. In order to obtain this, the author first establish the weighted boundedness for the commutators of some singular integral operators on Lp,ψ (ω).     

THE HENSTOCK INTEGRAL FOR FUNCTIONS WITH VALUES IN NUCLEAR SPACES AND THE HENSTOCK LEMMA

This paper shows that Henstock‘s Lemma holds for functions with values in a countably Hilbert space, where the Henstock integral is defined as a natural extension of the resl valued case.     

一类带有变量核的积分算子在Herz型Hardy空间的有界性

本文研究了带有变量核的奇异积分与分数次积分算子.当核函数满足一类Dini型条件时,证明了 这类算子从Herz型Hardy空间到Herz空间的有界性.     

BOUNDEDNESS OF COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON WEIGHTED HERZ-TYPE HARDY SPACES

In this paper, we study the boundedness of higher order commutators of gen- eralized fractional integral operators on weighted Lp spaces and Herz-type Hardy spaces.     

WEIGHTED COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Caxleson measure.     

HYPERCYCLIC OPERATORS ON QUASI-MAZUR SPACES

Modifying the method of Ansari,we give some criteria for hypercyclicity of quasi-Mazur spaces.They can be applied to judging hypercyclicity of non-complete and non-metrizable locally convex spaces.For some special locally convex spaces,for example,Ko¨the(LF)-sequence spaces and countable inductive limits of quasi-Mazur spaces,we investigate their hypercyclicity.As we see,bounded biorthogonal systems play an important role in the construction of Ansari.Moreover,we obtain characteristic conditions respectively for locally convex spaces having bounded sequences with dense linear spans and for locally convex spaces having bounded absorbing sets,which are useful in judging the existence of bounded biorthogonal systems.     

SINGULAR INTEGRAL OPERATORS IN L~2 SPACES ASSOCIATED WITH THE GENERALIZED JACOBI WEIGHTS

In this paper, a kind of new definitions of singular integral operators in the weighted L2 space with the generalized Jacobi weights are given, then the boundedness in the weighted L2 space, the relationships between these operators and the classic singular integral operators are proved. For the convenience in the later use, similar results in the L2 space with Jacobi weights are given.     

COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES

In this paper, boundedness and compactness of the composition operator on the generalized Lipschitz spaces Λα (α > 1) of holomorphic functions in the unit disk are characterized.     

带振荡核奇异积分算子交换子在加权Morrey空间中的有界性质

本文研究Morrey空间中的交换子有界性的问题.利用John-Nirenberg不等式等工具建立带振荡核的奇异积分算子与BMO函数生成交换子在加权Morrey空间中的加权估计.     

Hardy型空间上的面积积分交换子

本文研究了面积积分交换子的端点估计.利用函数分解技术,证明了当q>1时,面积积分与LMO(R~n)(BMO(R~n)的一个子空间)函数的交换子是局部Hardy空间h1(R~n)到空间h1(R~n)+Lq(R~n)的一个连续映射,推广了Coifman,Rochberg和Weiss关于交换子的经典结果.     

加权Dirichlet空间上的复合算子

本文研究复平面中单位圆盘的加权Ｄｉｒｉｃｈｌｅｔ空间上的复合算子Ｃψ。利用Ｃａｒｌｅｓｏｎ测度的概念，给出了Ｃｐ为有界算子，紧算子的充要条件。同时，对复合算子Ｃｐ为Ｓｃｈａｔｔｅｎ Ｐ－类算子时，函数ψ应满足的条件作了讨论，给出了积分形式的刻划。