G
Giuseppina Anatriello
Researcher at University of Naples Federico II
Publications - 18
Citations - 137
Giuseppina Anatriello is an academic researcher from University of Naples Federico II. The author has contributed to research in topics: Lp space & Lebesgue's number lemma. The author has an hindex of 7, co-authored 17 publications receiving 118 citations.
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Fully measurable grand Lebesgue spaces
TL;DR: In this article, a new class of rearrangement-invariant Banach function spaces, independent of the variable Lebesgue spaces, whose function norm is ρ ( f ) = ess sup x ∈ ( 0, 1 ) ρ p( x ) ( δ ( x ) f ( ⋅ ) ) is constructed.
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Weighted fully measurable grand Lebesgue spaces and the maximal theorem
TL;DR: In this paper, the authors introduced the weighted fully measurable grand Lebesgue spaces and proved the boundedness of the Hardy-Littlewood maximal function in the Muckenhoupt class.
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Tribonacci-like sequences and generalized Pascal's pyramids
TL;DR: In this paper, it was shown that any tribonacci-like sequence can be obtained by the diagonals of the Feinberg's triangle associated to a suitable generalized Pascal's pyramid.
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Iterated grand and small Lebesgue spaces
TL;DR: In this article, the authors consider the spaces defined by a norm with an analogous expression, where Lebesgue norms are replaced by grand lebesgue norm, and prove an iteration-type theorem.
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Fully measurable small Lebesgue spaces
TL;DR: In this article, a new class of Banach function spaces, whose function norm is ρ ( p [ ⋅ ], δ [ ⊆ ] ( f ) = inf f ∈ ( 0, 1 ) ρ p ( x) ( δ ( x ) − 1 f k ( ⋆ ) ), where ρp( x ) denotes the norm of the Lebesgue space of exponent p (x ) (assumed measurable and possibly infinite), constant with respect to the variable of f, and δ is measurable, too).