Results 21 to 30 of about 3,904 (117)
Bellman function for extremal problems in BMO [PDF]
, 2012 In this paper we develop the method of finding sharp estimates by using a Bellman function. In such a form the method appears in the proofs of the classical John--Nirenberg inequality and $L^p$ estimations of BMO functions.
Ivanisvili, Paata +4 more
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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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A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa [PDF]
, 2010 A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (Rn, μ) with μ(B(α, r)) ≤ Crd, in which non-doubling harmonic analysis has recently been ...
Hytönen, Tuomas
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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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On the Stability of Solitary Water Waves with a Point Vortex
Communications on Pure and Applied Mathematics, Volume 73, Issue 12, Page 2634-2684, December 2020., 2020 This paper investigates the stability of traveling wave solutions to the free boundary Euler equations with a submerged point vortex. We prove that sufficiently small‐amplitude waves with small enough vortex strength are conditionally orbitally stable. In the process of obtaining this result, we develop a quite general stability/instability theory for ...
Kristoffer Varholm +2 more
wiley +1 more source
An extension of the classical John-Nirenberg inequality of martingales
AIMS Mathematics, 2022 <abstract><p>In this paper, we prove the John-Nirenberg theorem of the $ bmo_p $ martingale spaces for the full range $ 0 < p < \infty $. We also consider the John-Nirenberg inequality on symmetric spaces of martingales.</p></abstract>
Changzheng Yao, Congbian Ma
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Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we first introduce some new classes of weighted amalgam spaces. Then, we give the weighted strong‐type and weak‐type estimates for fractional integral operators Iγ on these new function spaces. Furthermore, the weighted strong‐type estimate and endpoint estimate of linear commutators [b, Iγ] generated by b and Iγ are established as well.
Hua Wang, Kehe Zhu
wiley +1 more source
Uchiyama's lemma and the John-Nirenberg inequality [PDF]
Bulletin of the London Mathematical Society, 2013 Using integral formulas based on Green's theorem and in particular a lemma of Uchiyama, we give simple proofs of comparisons of different BMO norms without using the John-Nirenberg inequality while we also give a simple proof of the strong John-Nirenberg inequality. Along the way we prove the inclusions of BMOA in the dual of H^1 and BMO in the dual of
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The John–Nirenberg inequality for Orlicz–Lorentz spaces in a probabilistic setting
Revista de la Unión Matemática Argentina, 2023 Summary: The John-Nirenberg inequality is widely studied in the field of mathematical analysis and probability theory. In this paper we study a new type of the John-Nirenberg inequality for Orlicz-Lorentz spaces in a probabilistic setting. To be precise, let \(0 < q \leq \infty\) and \(\Phi\) be an \(N\)-function with some proper restrictions. We prove
Li, Libo, Hao, Zhiwei
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Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 Let 0 < γ < n and Iγ be the fractional integral operator of order γ, Iγfx=∫ℝnx−yγ−nfydy and let [b, Iγ] be the linear commutator generated by a symbol function b and Iγ, [b, Iγ]f(x) = b(x) · Iγf(x) − Iγ(bf)(x). This paper is concerned with two‐weight, weak‐type norm estimates for such operators on the weighted Morrey and amalgam spaces.
Hua Wang, Paul W. Eloe
wiley +1 more source