Sharp Weighted Multidimensional Integral Inequalities for Monotone Functions
β Scribed by Sorina Barza; Lars-Erik Persson; Javier Soria
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 253 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Weighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi-linear operators on monotone functions. Several properties of the classes B@, n) and C(p, n) introduced by NEUGEBAUER in [I31 are given. In particular, we characterize the weight pairs w, v for
Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives of Ε½ . n q 1 th order remain between bounds. Using this result, Iyeng
We define pluriharmonic conjugate functions on the unit ball of n . Then we show that for a weight there exist weighted norm inequalities for pluriharmonic conjugate functions on L p if and only if the weight satisfies the A p -condition. As an application, we prove the equivalence of the weighted n