A note on $\varrho$-upper continuous functions
Kowalczyk, Stanisław ; Nowakowska, Katarzyna
Tatra Mountains Mathematical Publications, Tome 45 (2010), / Harvested from Mathematical Institute
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In the present paper, we introduce the notion of classes of$\varrho$-upper continuous functions. We show that $\varrho$-uppercontinuous functions are Lebesgue measurable and, for$\varrho<\frac{1}{2}$, may not belong to Baire class 1. We also provethat a function with Denjoy property can   be non-measurable.

Publié le : 2010-01-01
DOI : https://doi.org/10.2478/tatra.v44i0.47 
@article{47,
     title = {A note on   $\varrho$-upper continuous  functions},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {45},
     year = {2010},
     doi = {10.2478/tatra.v44i0.47},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/47}
}

Kowalczyk, Stanisław; Nowakowska, Katarzyna. A note on   $\varrho$-upper continuous  functions. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v44i0.47. http://gdmltest.u-ga.fr/item/47/