Lebesgue points for functions from generalized Sobolev classes Mpa(X) in the critical case

Classical Lebesgue theorem states that for any integrable function almost every point (except the set of measure zero)  is a Lebesgue point. The set of the points that are not Lebesgue points is called an exceptional set. One can estimate the  «size» of the exceptional set for more regular functions...

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Bibliographic Details
Main Author: Sergey A. Bondarev
Format: Article
Language:Belarusian
Published: Belarusian State University 2019-01-01
Series: Журнал Белорусского государственного университета: Математика, информатика
Subjects:
Online Access:https://journals.bsu.by/index.php/mathematics/article/view/1007