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Private measures, random walks, and synthetic data. [PDF]
Boedihardjo M, Strohmer T, Vershynin R.
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Parallel MCMC algorithms: theoretical foundations, algorithm design, case studies. [PDF]
Glatt-Holtz NE +3 more
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Polynomial Inequalities in Lebesgue Spaces with Variable Exponents on the Sphere
The Journal of Geometric Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongwei Huang, Heping Wang
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Variable Exponent Lebesgue Spaces
2011In this chapter we define Lebesgue spaces with variable exponents, \(L^{p(.)}\). They differ from classical \(L^p\) spaces in that the exponent p is not constant but a function from Ω to \([1,\infty]\). The spaces \(L^{p(.)}\) fit into the framework of Musielak–Orlicz spaces and are therefore also semimodular spaces.
Lars Diening +3 more
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Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
Georgian Mathematical Journal, 2003Abstract In the weighted Lebesgue space with variable exponent the boundedness of the Calderón–Zygmund operator is established. The variable exponent 𝑝(𝑥) is assumed to satisfy the logarithmic Dini condition and the exponent β of the power weight ρ(𝑥) = |𝑥 – 𝑥0| β is related only to the value 𝑝(𝑥0).
Kokilashvili, V., Samko, S.
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Notes on commutator on the variable exponent Lebesgue spaces
Czechoslovak Mathematical Journal, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Precompact Sets in Bochner–Lebesgue Spaces with Variable Exponent
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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BASICITY OF A PERTURBED SYSTEM OF EXPONENTS IN LEBESGUE SPACES WITH A VARIABLE SUMMABILITY EXPONENT
Baku Mathematical Journal, 2022In this paper a system of exponents 1 is considered, where is some polynomial of degree m, m ∈ N. It is proved that under certain conditions on the exponent p (·) the basicity of this system in a Lebesgue space with a variable summability exponent Lp(·) (−π, π) depends on the coefficient αm−1 and m.
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Approximation of the functions in weighted Lebesgue spaces with variable exponent
Complex Variables and Elliptic Equations, 2017In the present work, we investigate the approximation problems of the functions by Fejer, and Zygmund means of Fourier trigonometric series in weighted Lebesgue spaces with variable exponents and o...
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