2008
DOI: 10.1002/mana.200710694
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One‐sided operators inLp(x)spaces

Abstract: Boundedness of one‐sided maximal functions, singular integrals and potentials is established in L(I) spaces, where I is an interval in R. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Cited by 8 publications
(5 citation statements)
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“…If we take ( ) = 1 and V( ) = 1 for a.e. ∈ whenever is an open interval, then P + ( ) = P + 1 ( ) = P + ( ) (see Definition 18 below) and the results of this paper coincide with those of [9].…”
Section: Theorem 5 Letsupporting
confidence: 77%
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“…If we take ( ) = 1 and V( ) = 1 for a.e. ∈ whenever is an open interval, then P + ( ) = P + 1 ( ) = P + ( ) (see Definition 18 below) and the results of this paper coincide with those of [9].…”
Section: Theorem 5 Letsupporting
confidence: 77%
“…Lemma 22 (see [9]). It is given that (⋅) ∈ P + ( ), 0 < − ⩽ ( ) < 1/ + , and ( ) = ( )/(1− ( ) ( )).…”
Section: Applicationsmentioning
confidence: 99%
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