On some representations of almost everywhere continuous functions on $ℝ^{m}$

• Autorzy: Ewa Strońska
• Języki publikacji: EN

Abstrakty

EN

It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on $ℝ^{m}$; (b) f = g + h, where g,h are strongly quasicontinuous on $ℝ^{m}$; (c) f = c + gh, where c ∈ ℝ and g,h are strongly quasicontinuous on $ℝ^{m}$.

Kategorie tematyczne

• 26B35: Special properties of functions of several variables, H\"older conditions, etc.
• 54C30: Real-valued functions
• 26B05: Continuity and differentiation questions
• 54C08: Weak and generalized continuity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 2
• Strony: 319-331

Daty

wydano

2006

Twórcy

autor

Ewa Strońska

• Institute of Mathematics, Kazimierz Wielki University, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

Identyfikatory

DOI

10.4064/cm105-2-12