粗糙核分数次积分算子的两权弱型不等式

作者得到了粗糙核分数次积分算子的两权弱型不等式,推广了Cruz-Uribe和Perez的结果.     

多属性决策的组合赋权法

鉴于多属性决策问题中主观赋权法和客观赋权法各有其自身固有的特点，本文依据优化理论提出一种集成方法确定属性权重，该方法既充分利用客观信息，又反映决策者的主观偏好，从而使确定的属性权重更加合理、实用．     

Embedding of analytic function spaces with given mean growth of the derivative

If ? is a positive function defined in [0, 1) and 0 < p < ∞, we consider the space ??(p, ?) which consists of all functions f analytic in the unit disc ?? for which the integral means of the derivative M _p (r, f ′) = 0 < r < 1, satisfy M _p (r, f ′) = O(? (r)), as r → 1. In this paper, for any given p ∈ (0, 1), we characterize the functions ?, among a certain class of weight functions, to be able to embedd ??(p, ?) into classical function spaces. These results complement other previously obtained by the authors for p ≥ 1. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

第二类窃密信道中的组合数学方法

当信息在第二类窃密信道中传输时,线性码的广义汉明重量谱完全描述的它在该信道中的密码学特征.计算一个线性码的广义汉明重量谱是一个基本问题,首先提出了线性码的“最简基”的概念.在此基础上给出了一般线性码子码的几种计数公式,并给出了它们之间等价性的证明.     

Mikroprozessor-Interface zur on-line Erfassung von Wägedaten

Zusammenfassung Als ergänzender Schritt für die Automatisierung der Flüssigkeitschromatographie wurde in unseren analytischen Laboratorien für Routinemessungen die automatische Erfassung von Wägedaten während der Probenvorbereitung eingeführt. Zu diesem Zweck wurde ein von einem Mikroprozessor gesteuertes Datenerfassungsgerät entwickelt, welches die Gewichtswerte von der Analysenwaage on-line in das Hewlett-Packard Lab-Data-System 3354 übermittelt. Das bedienungsfreundliche Konzept bringt eine wesentliche Arbeitserleichterung und schließt Fehlermöglichkeiten weitgehendst aus. Mit Geräten, welche seit über einem Jahr in Betrieb stehen konnten die Erwartungen voll erfüllt werden.

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Microprocessor-interface for the on-line aquisition of weight data

Summary With the on-line data aquisition of sample weights an additional step to the automation of liquid chromatography was introduced in our analytical laboratories. A new developed microprocessor controlled equipment connects a balance to the Hewlett-Packard Lab-Data-System 3354 and controls the on-line transfer of the weight data. The design is based on an easy application for users and gives essential reductions of workload and of error possibilities. Equipment are now in use with excellent results for over one year.

     

On bornologicalC $$\overline V $$ (X) spaces

Archiv der Mathematik -     

On Weighted Poincaré Inequalities

We are concerned with the problem of finding sharp summability conditions on the weights which render certain weighted inequalities of Poincaré - type true. The conditions we find consist of proper integral balances between the growths of the rearrangements of the weights.     

关于加权的帐篷空间

本文建立了加权的帐篷空间，把帐篷空间中的一些主要结果推广到加权的情形，同时刻划了Ap权函数与Carleson测度的一种新的关系。     

Lack of natural weighted estimates for some singular integral operators

We show that the classical Hörmander condition, or analogously the -Hörmander condition, for singular integral operators is not sufficient to derive Coifman's inequality

where , is the Hardy-Littlewood maximal operator, is any weight and is a constant depending upon and the constant of . This estimate is well known to hold when is a Calderón-Zygmund operator.

As a consequence we deduce that the following estimate does not hold:

where and where is an arbitrary weight. However, by a recent result due to A. Lerner, this inequality is satisfied whenever is a Calderón-Zygmund operator.

One of the main ingredients of the proof is a very general extrapolation theorem for weights.

     

Weighted inequalities for integral operators with some homogeneous kernels

In this paper we study integral operators of the form