Results 11 to 20 of about 4,121 (107)
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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Embeddings between grand, small and variable Lebesgue spaces [PDF]
Mathematical Notes, 2017 We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal.
Cruz-Uribe, David +2 more
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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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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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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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, 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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Boundedness of an intrinsic square function on grand p-adic Herz-Morrey spaces
AIMS Mathematics, 2023 This research paper focuses on establishing a framework for grand Herz-Morrey spaces defined over the $ p $-adic numbers and their associated $ p $-adic intrinsic square function.
Babar Sultan +3 more
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Molecular Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications
Mathematics, 2021 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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Journal of Function Spaces and Applications, 2005 We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
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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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