On the PropertyN-1
Keyword(s):
We construct a continuous functionf:[0,1]→Rsuch thatfpossessesN-1-property, butfdoes not have approximate derivative on a set of full Lebesgue measure. This shows that Banach’s Theorem concerning differentiability of continuous functions with Lusin’s property(N)does not hold forN-1-property. Some relevant properties are presented.
2021 ◽
Vol 7
(1)
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pp. 88-99
1989 ◽
Vol 12
(1)
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pp. 9-13
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Keyword(s):
1985 ◽
Vol 37
(2)
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pp. 310-323
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1989 ◽
Vol 32
(4)
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pp. 417-424
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2005 ◽
Vol 178
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pp. 55-61
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