Estimation of the rate of decrease (vanishing) of a function in terms of relative
oscillations
Authors
A. A. Korenovskii
Одес. нац. ун-т им. И. И. Мечникова, Ин-т математики, экономики и механики
Abstract
The relative mean integral oscillations of a nondecreasing equimeasurable rearrangement are estimated from above via the
same oscillations of the original function. On the basis of this estimate, we establish a lower order-exact estimate for the
rate of decrease (vanishing) of the rearrangement.
