Abstract
This work is motivated by some earlier papers concerning a pair of functional inequalities characterizing polynomials. This system is also related to the notion of microperiodic function. We study multifunctions satisfying two simultaneous conditional functional inclusions. An explicit formula for the solution to this system of inclusions is given. Applying this result we obtain its counterpart for single-valued functions, and moreover we get a characterization of real polynomial-type measurable multifunctions. Some properties of measurable microperiodic multifunctions are also given.
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Olko, J. Inclusions Characterizing Polynomial-Type Multifunctions. Results. Math. 68, 331–343 (2015). https://doi.org/10.1007/s00025-015-0436-4
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DOI: https://doi.org/10.1007/s00025-015-0436-4