2018
Том 70
№ 9

All Issues

Upper and lower Lebesgue classes of multivalued functions of two variables

Karlova O. O., Mykhailyuk V. V.


Abstract

We introduce a functional Lebesgue classification of multivalued mappings and obtain results on upper and lower Lebesgue classifications of multivalued mappings $F : X \times Y \multimap Z$ for wide classes of spaces $X, Y$ and $Z$.

Citation Example: Karlova O. O., Mykhailyuk V. V. Upper and lower Lebesgue classes of multivalued functions of two variables // Ukr. Mat. Zh. - 2018. - 70, № 8. - pp. 1097-1106.