Results 11 to 20 of about 4,196 (115)
Identification of Fully Measurable Grand Lebesgue Spaces [PDF]
Journal of Function Spaces, 2017 We consider the Banach function spaces, called fully measurable grand Lebesgue spaces, associated with the function norm ρ(f)=ess supx∈Xδ(x)ρp(x)(f), where ρp(x) denotes the norm of the Lebesgue space of exponent p(x), and p(·) and δ(·) are measurable ...
Giuseppina Anatriello +2 more
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On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces [PDF]
Results in Mathematics, 2021 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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Bochner–Riesz operators in grand lebesgue spaces [PDF]
Journal of Pseudo-Differential Operators and Applications, 2021 AbstractWe provide the conditions for the boundedness of the Bochner–Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a lower estimate for the constant appearing in the Lebesgue–Riesz norm estimation of the Bochner–Riesz operator and we investigate the convergence of the Bochner–Riesz approximation in Lebesgue–Riesz
Formica, Maria Rosaria +2 more
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On Closed Subspaces of Grand Lebesgue Spaces
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2022 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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Local grand variable exponent Lebesgue spaces
Zeitschrift für Analysis und ihre Anwendungen, 2023 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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, 2020 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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Fractional integrals and derivatives: mapping properties [PDF]
, 2016 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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A Decomposition of the Dual Space of Some Banach Function Spaces
Journal of Function Spaces and Applications, 2012 We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
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Grand Bochner–Lebesgue space and its associate space
Journal of Functional Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kokilashvili, Vakhtang +2 more
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Characterization of interpolation between Grand, small or classical Lebesgue spaces
, 2017 In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto +4 more
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