Upper and Lower Lebesgue Classes of Multivalued Functions of Two Variables

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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Bibliographic Details
Published in:Ukrainian mathematical journal 2019, Vol.70 (8), p.1264-1274
Main Authors: Karlova, O., Mykhailyuk, V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Functionals
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-018-1567-z