𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weighted Inequalities for Monotone Functions

✍ Scribed by Alejandro García

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
495 KB
Volume
172
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

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 which (1 f fy u(x) dx, for nondecreasing functions f and x o 0 1 5 p < C o .

📜 SIMILAR VOLUMES

Integral Inequalities for Monotone Funct
Integral Inequalities for Monotone Functions
✍ Josip Pečarić; Ivan Perić; Lars-Erik Persson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 218 KB

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.

Weighted Norm Inequalities for Pluriharm
Weighted Norm Inequalities for Pluriharmonic Conjugate Functions
✍ Jaesung Lee; Kyung Soo Rim 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 97 KB

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

Inequalities for Real Powers of Complete
Inequalities for Real Powers of Completely Monotonic Functions
✍ H. van Haeringen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 203 KB

Let L L N denote the class of functions defined by ## Ž . Ž . For N ª ϱ we write f g L L. Functions in L L are called completely monotonic on Ž . 0, ϱ . We derive several inequalities involving completely monotonic functions. In particular, we prove that the implication is true for 0 F N F 7, bu

Weighted inequalities for iterated maxim
Weighted inequalities for iterated maximal functions in Orlicz spaces
✍ Hiro-o Kita 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract Let __M__ be the classical Hardy‐Littlewood maximal operator. The object of our investigation in this paper is the iterated maximal function __M__^__k__^__f__(__x__) = __M__(__M__^__k−1__^__f__) (__x__) (__k__ ≥ 2). Let Φ be a __φ__‐function which is not necessarily convex and Ψ be a Yo