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On Weakly Darboux Functions and Some Problem Connected with the Morrey Monotonicity
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Abstract
In this paper we investigate relationships between the families of weakly Darboux, quasi-Darboux and Darboux functions which are quasi-continuous, and analyse the problem connected with the Morrey monotonicity of the restriction of a weakly Darboux function with the property (P) to the closure of the union of levels which are continua.
Title: On Weakly Darboux Functions and Some Problem Connected with the Morrey Monotonicity
Description:
Abstract
In this paper we investigate relationships between the families of weakly Darboux, quasi-Darboux and Darboux functions which are quasi-continuous, and analyse the problem connected with the Morrey monotonicity of the restriction of a weakly Darboux function with the property (P) to the closure of the union of levels which are continua.
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