Results 11 to 20 of about 4,123 (101)
Local grand variable exponent Lebesgue spaces
We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is “aggrandized” only at a given closed set F of measure zero.
Rafeiro, Humberto, Samko, Stefan
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Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis +2 more
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On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces [PDF]
AbstractWe prove that if $$1<p<\infty $$ 1 < p < ∞ and $$\delta :]0,p-1]\rightarrow ]0,\infty [$$ δ : ]
Fiorenza A., Formica M. R.
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Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]
In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
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Molecular Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications
Let p→∈(0,∞)n be an exponent vector and A be a general expansive matrix on Rn. Let HAp→(Rn) be the anisotropic mixed-norm Hardy spaces associated with A defined via the non-tangential grand maximal function.
Jun Liu, Long Huang, Chenlong Yue
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We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for small values of the parameter, and we investigate some its properties, in particular, completeness, fundamental function, operators estimates, Boyd indices, contraction principle, tail behavior, dual space, generalized triangle and quadrilateral ...
Formica, Maria Rosaria +2 more
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Grand Bochner–Lebesgue space and its associate space
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Kokilashvili, Vakhtang +2 more
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Fractional integrals and derivatives: mapping properties [PDF]
This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known,
Rafeiro, Humberto, Samko, Stefan
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On Closed Subspaces of Grand Lebesgue Spaces
We prove a generalized version of a theorem of Grothendieck over finite measure space. We prove a closed subspace of grand Lebesgue space that consist of functions of must be finite dimensional. By using embeddings of Banach spaces and we work inside space . Then we take advantage of many useful properties of Hilbert space.
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Sawyer Duality Principle in Grand Lebesgue Spaces
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Jain P. +3 more
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