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Fractional Leibniz Rules in the Setting of Quasi-Banach Function Spaces
Journal of Fourier Analysis and Applications, 2023Elizabeth Hale, V. Naibo
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Pointwise Properties of Martingales with Values in Banach Function Spaces
Progress in probability, 2018In this paper we consider local martingales with values in a UMD Banach function space. We prove that such martingales have a version which is a martingale field. Moreover, a new Burkholder–Davis–Gundy type inequality is obtained.
M. Veraar, I. Yaroslavtsev
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On local fractal functions in banach spaces
AIP Conference Proceedings, 2015We give a short introduction to local fractal functions defined on several classes of Banach spaces. The emphasis is on the Banach space of bounded functions B, the Lebesgue spaces Lp, 1 ≤ p ≤ ∞, and the Sobolev spaces Wn,p, n ∈ N0and 1 ≤ p ≤ ∞.
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A Modulus of Smoothness for Some Banach Function Spaces
Ukrainian Mathematical Journal, 2023R. Akgün
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Extrapolations on ball Banach function spaces and applications
Annals of Functional Analysis, 2022Chao Deng, Jiawei Sun, Baode Li
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Banach Spaces of Lipschitz Functions
2019In this chapter we introduce several Banach spaces of Lipschitz functions (Lipschitz functions vanishing at a fixed point, bounded Lipschitz functions, little Lipschitz functions) on a metric space and present some of their properties. A detailed study of free Lipschitz spaces is carried out, including several ways to introduce them and duality results.
Ştefan Cobzaş +2 more
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