2. 您的位置
3. 首页
4. 期刊论文
5. Composition operators on the Lipschitz space in polydiscs

Composition operators on the Lipschitz space in polydiscs

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：liangsfr

【摘 要】

：

Let Un be the unit polydisc of Cn and φ= (φ1,...,φn) a holomorphic self-map of Un. Let0 ≤α＜ 1. This paper shows that the composition operator Cφ is bounded

【作 者】

：

ZHOU Zehua(周泽华) 

【机 构】

：

DepartmentofMathematics,LiuHuiCenterforAppliedMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2003年1期

【关键词】

：

LIPSCHITZ space polydisc COMPOSITION operator. Lipschitz space polydisc compos 

【基金项目】

：

国家自然科学基金，南开大学-天津大学合作项目

下载到本地 , 更方便阅读

下载此文 赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

Let Un be the unit polydisc of Cn and φ= (φ1,...,φn) a holomorphic self-map of Un. Let0 ≤α＜ 1. This paper shows that the composition operator Cφ is bounded on the Lipschitz space Lipα(Un)if and only if there exists M ＞ 0 such that∑nk,l=1|φl/zk(z)|( 1-|zk|

其他文献

A nontrivial product in the stable homotopy groups of spheres

［1］Cohen, R., Odd primary families in stable homotopy theory, Memoirs of the American Mathematical Society,Providence: AMS, 1981, 242［2］Wang, X. J., Zheng, Q. B., T

期刊

范围的稳定的homotopy组亚当斯光谱顺序Toda铁匠系列5月光谱顺序stable homotopy groups of spheres Ad

Line bundles on non-primary Hopf manifolds

Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) us

期刊

HOPFsurfacecohomologyLINEbundlesections.Hopf surface cohomology line bu

Central limit theorem of linear regression model under right censorship

In this paper, the estimation of joint distribution F(y,z) of (Y, Z) and the estimation in thelinear regression model Y = b′Z + ε for complete data are extend

期刊

asymptoticnormalitylinearregressionproductlimitestimatorRIGHTcensorin

On comparison of jump point detection for an exchange rate series

The main purpose of this paper is to investigate the detection of jump points of a discontinuous function in the presence of a noise by the wavelet approach. A

期刊

EXCHANGErateJUMPpointsthresholdwavelets.exchange rate jump points thres

T1 theorem for Besov and Triebel-Lizorkin spaces

Using the discrete Calderon type reproducing formula and the PlancherelPolya characterization for the Besov and Triebel-Lizorkin spaces, the T1 theorem for the

期刊

Convergence of one-leg methods for singular perturbation problems with delays

This paper is concerned with the error behaviour of one-leg methods applied to some classes of one-parameter multiple stiff singularly perturbed problems with d

期刊

SINGULARPERTURBATIONPROBLEMSwithdelaysinterpolationone-legmethodsconv

Existence and bifurcation of integral manifolds with applications

In this paper a bifurcation theorem on the existence of integral manifolds is obtained by using contracting principle. As an application, sufficient conditions

期刊

existencebifurcationINVARIANTmanifoldINVARIANTtorus.existence bifurcat

Complete solving of explicit evaluation of Gauss sums in the index 2 case

Let p be a prime number,N be a positive integer such that gcd(N,p) = 1,q = pf where f is the multiplicative order of p modulo N.Let χ be a primitive multiplica

期刊

GAUSSSUMStickelberger’sTHEOREMStickelbergerCONGRUENCEDavenport-HasseLIFTI

An application of the Riemann-Roch theorem

Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compact Riemann surfaces.And we also construc

期刊

Riemann-RochTHEOREMλ-differentialANNULUSDOMAINCAUCHYINTEGRALFORMULARiema

Julia's lemma and Bloch constants

The classical Julia's lemma is improved, branch points of Bloch functions are investigated, andnew lower bounds of Bloch constants for functions with branch

期刊

ANALYTICfunctionJulia'slemmaBLOCHfunctionBLOCHconstant.analytic f