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Weighted multidimensional inequalities for monotone functions

Sorina Barza, Lars-Erik Persson (1999)

Mathematica Bohemica

We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions $f \geq 0$ and nonnegative weights $u$ and $v$ and $N \geq 1$ . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.

Well behaved asymptotical convex functions

A. A. Auslender, J. P. Crouzeix (1989)

Annales de l'I.H.P. Analyse non linéaire

Whitney covers and quasi-isometry of $L^{s} (μ)$ -averaging domains.

Ding, Shusen, Liu, Bing (2001)

Journal of Inequalities and Applications [electronic only]

Currently displaying 1 – 3 of 3