Results 1 to 10 of about 72 (65)
The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO [PDF]
Journal of Inequalities and Applications, 2019 Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki +2 more
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BMO and the John-Nirenberg Inequality on Measure Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2020 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.
Dafni Galia, Gibara Ryan, Lavigne Andrew
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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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Sparse Brudnyi and John–Nirenberg Spaces
Comptes Rendus. Mathématique, 2021 A generalization of the theory of Y. Brudnyi [7], and A. and Y. Brudnyi [5, 6], is presented. Our construction connects Brudnyi’s theory, which relies on local polynomial approximation, with new results on sparse domination.
Domínguez, Óscar, Milman, Mario
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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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Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space
Journal of Mathematics, 2022 In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators
Qianjun He, Xiang Li
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On the John–Nirenberg inequality
Journal of Inequalities and Applications, 2020 We 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.
Hee Chul Pak
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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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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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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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