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Approach regions of...
Approach regions of Lebesgue measurable, locally bounded, quasi-continuous functions
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- Daghighi, Abtin, 1981- (författare)
- Mittuniversitetet,Institutionen för tillämpad naturvetenskap och design (-2013)
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(creator_code:org_t)
- 2012
- 2012
- Engelska.
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Ingår i: International Journal of Mathematical Analysis. - 1312-8876 .- 1314-7579. ; 6:13, s. 659-680
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- Quasi-continuity (in the sense of Kempisty) generalizes directional continuity of complex-valued functions on open subsets of ℝ n or ℂ n, and in particular provides certain approach regions at every point. We show that these can be used as a proof tool for proving several properties forLebesgue measurable, locally bounded, quasi-continuous functions e.g. that for such a function f the polynomial ring C(M,K)[f] (where K = ℝ or ℂ) satisfies that the equivalence classes under identification a.e. have cardinality one and an asymptotic maximum principle.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Approach regions; Locally bounded lebesgue measurable quasi-continuous functions
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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