We introduce a functional Lebesgue classification of multivalued mappings and obtain results on the upper and lower Lebesgue classifications of multivalued mappings F: X × Y ⊸ Z for broad classes of spaces X, Y and Z.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 8, pp. 1097–1106, August, 2018.
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Karlova, O., Mykhailyuk, V. Upper and Lower Lebesgue Classes of Multivalued Functions of Two Variables. Ukr Math J 70, 1264–1274 (2019). https://doi.org/10.1007/s11253-018-1567-z
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DOI: https://doi.org/10.1007/s11253-018-1567-z