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Maximal irredundant functions

✍ Scribed by G.H. Fricke; S.T. Hedetniemi; D.P. Jacobs

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 710 KB
Volume: 68
Category: Article
ISSN: 0166-218X
DOI: 10.1016/0166-218x(95)00071-x

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Let T be a bounded linear, or sublinear, operator from L p (Y) to L q (X ). A maximal operator T \*f (x)=sup j |T( f } / Y j )(x)| is associated to any sequence of subsets Y j of Y. Under the hypotheses that q>p and the sets Y j are nested, we prove that T\* is also bounded. Classical theorems of Me