Open AccessLebesgue points of multi-dimensional functions
Author(s) -
Ferenc Weisz
Publication year - 2008
Publication title -
facta universitatis - series electronics and energetics
Language(s) - English
Resource type - Journals
eISSN - 2217-5997
pISSN - 0353-3670
DOI - 10.2298/fuee0803255w
Subject(s) - lebesgue integration , mathematics , standard probability space , point (geometry) , function (biology) , pure mathematics , geometry , evolutionary biology , biology
Lebesgue and Walsh-Lebesgue points are introduced for higher dimen- sional functions and it is proved that a.e. point is a (Walsh) -Lebesgue point of a func- tion f from the space L(log L) d−1 . Every function f ∈ L(log L) d−1 is Fejer summable
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