A solution of the Guzmán's problem on possible values of upper and lower derivatives is given for the class of translation invariant and product type differentiation bases formed by ndimensional intervals. Namely, the bases from the mentioned class are characterized, for which integral means of a summable function can boundedly diverge only on a set of zero measure
Oniani, G., Tulone, F. (2018). On the possible values of upper and lower derivatives with respect to differentiation bases of product structure. SAKʼARTʼVELOS SSR MECʼNIEREBATʼA AKADEMIIS MOAMBE, 12(1), 12-15.
On the possible values of upper and lower derivatives with respect to differentiation bases of product structure.
Tulone, F
2018-01-01
Abstract
A solution of the Guzmán's problem on possible values of upper and lower derivatives is given for the class of translation invariant and product type differentiation bases formed by ndimensional intervals. Namely, the bases from the mentioned class are characterized, for which integral means of a summable function can boundedly diverge only on a set of zero measure
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