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The Brownian transport map. [PDF]
Probab Theory Relat FieldsMikulincer D, Shenfeld Y.
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Realistic Image Rendition Using a Variable Exponent Functional Model for Retinex. [PDF]
Sensors (Basel), 2016 Dou Z +5 more
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The Solutions to the Uncertainty Problem of Urban Fractal Dimension Calculation. [PDF]
Entropy (Basel), 2019 Chen Y.
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Quantitative Homogenization for the Obstacle Problem and Its Free Boundary. [PDF]
Arch Ration Mech AnalAleksanyan G, Kuusi T.
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On Generalizations of the Nonwindowed Scattering Transform. [PDF]
Appl Comput Harmon AnalChua A, Hirn M, Little A.
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Private measures, random walks, and synthetic data. [PDF]
Probab Theory Relat FieldsBoedihardjo M, Strohmer T, Vershynin R.
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Parallel MCMC algorithms: theoretical foundations, algorithm design, case studies. [PDF]
Trans Math ApplGlatt-Holtz NE +3 more
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Variable exponents and grand Lebesgue spaces: Some optimal results [PDF]
Communications in Contemporary Mathematics, 2015 Consider p : Ω → [1, +∞[, a measurable bounded function on a bounded set Ø with decreasing rearrangement p* : [0, |Ω|] → [1, +∞[. We construct a rearrangement invariant space with variable exponent p* denoted by [Formula: see text]. According to the growth of p*, we compare this space to the Lebesgue spaces or grand Lebesgue spaces.
FIORENZA, ALBERTO +2 more
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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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