Results 1 to 10 of about 3,089 (88)
John-Nirenberg Type Inequalities for the Morrey-Campanato Spaces [PDF]
Journal of Inequalities and Applications, 2008 We give John-Nirenberg type inequalities for the Morrey-Campanato spaces on .
Li Wenming
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On the John–Nirenberg inequality [PDF]
Journal of Inequalities and Applications, 2020 AbstractWe present a version of the John–Nirenberg inequality for a sub-class of BMO by estimating the corresponding mean oscillating distribution function via dyadic decomposition. The dominating functions are of the form of decreasing step functions which are finer than the classical exponential functions and might be much more efficient for some ...
Hart, Jarod, Torres, Rodolfo H.
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John–Nirenberg inequalities for parabolic BMO
Mathematische Annalen, 2022 AbstractWe discuss a parabolic version of the space of functions of bounded mean oscillation related to a doubly nonlinear parabolic partial differential equation. Parabolic John–Nirenberg inequalities, which give exponential decay estimates for the oscillation of a function, are shown in the natural geometry of the partial differential equation ...
Juha Kinnunen +2 more
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Quantitative John–Nirenberg inequalities at different scales
Revista Matemática Complutense, 2022 AbstractGiven a family $${\mathcal {Z}}=\{\Vert \cdot \Vert _{Z_Q}\}$$ Z = { ‖ · ‖ Z Q
Javier C. Martínez-Perales +2 more
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BMO and the John-Nirenberg Inequality on Measure Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2020 Abstract We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢. The aim is to see how much of the familiar BMO machinery holds when metric notions have been replaced by measure ...
Dafni Galia, Gibara Ryan, Lavigne Andrew
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An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
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Sharp results in the integral-form John–Nirenberg inequality [PDF]
Transactions of the American Mathematical Society, 2011 37 pages, 8 figures, final version; Trans. Amer. Math. Soc., Vol. 363, No. 8 (2011)
Slavin, L., Vasyunin, V.
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John-Nirenberg Inequalities with Variable Exponents on Probability Spaces [PDF]
Tokyo Journal of Mathematics, 2015 Function spaces with variable exponents are widely studied, nowadays mainly in the Euclidean setting. The present paper deals with variable exponent function spaces within the framework of probability spaces. More precisely, the authors study John-Nirenberg type inequalities. Generalized Campanato martingale spaces \(\mathrm{BMO}_{\phi,Y}\), associated
WU, Lian, HAO, Zhiwei, JIAO, Yong
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The John–Nirenberg inequality with sharp constants [PDF]
Comptes Rendus. Mathématique, 2013 We consider the one-dimensional John–Nirenberg inequality:|{x∈I0:|f(x)−fI0|>α}|⩽C1|I0|exp(−C2‖f‖⁎α). A. Korenovskii found that the sharp C2 here is C2=2/e. It is shown in this paper that if C2=2/e, then the best possible C1 is C1=12e4/e.
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Inequalities of John—Nirenberg type in doubling spaces [PDF]
Journal d'Analyse Mathématique, 1999 The author introduces the concept of an \(H\)-chain set \(\Omega\) in a doubling space \(X\); roughly speaking this means that there exists a ``fairly short'' chain of balls from any \(x\in\Omega\) to a fixed \(x_0\in\Omega\). \(H\)-chain sets generalize the notion of Hölder domains in Euclidean space but are not necessarily connected. It is shown that
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