Abstract
It is well known that a microperiodic function that maps the set of reals into itself and is continuous at a point (Lebesgue measurable, respectively) must be constant (constant almost everywhere, resp.). We generalize those results in several directions. As a consequence we obtain conclusions concerning some systems of functional inequalities.
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Brzdȩk, J. Generalizations of some results concerning microperiodic mappings. manuscripta math. 121, 265–276 (2006). https://doi.org/10.1007/s00229-006-0031-9
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DOI: https://doi.org/10.1007/s00229-006-0031-9