A note on the Littlewood-Paley square function inequality
S. K. Pichorides (1990)
Colloquium Mathematicae
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S. K. Pichorides (1990)
Colloquium Mathematicae
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We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.
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Colloquium Mathematicae
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We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy-Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L(p) spaces are not attained.