John–Nirenberg Inequalities for Noncommutative Column BMO and Lipschitz Martingales
Communications in Mathematical PhysicsIn this paper, we continue the study of John-Nirenberg theorems for BMO/Lipschitz spaces in the noncommutative martingale setting. As conjectured from the classical case, a desired noncommutative ``stopping time" argument was discovered to obtain the distribution function inequality form of John-Nirenberg theorem.
Guixiang Hong, Congbian Ma, Yu Wang
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Quantitative John--Nirenberg inequality for stochastic processes of bounded mean oscillation
, 2022 Stroock and Varadhan in 1997 and Geiss in 2005 independently introduced stochastic processes with bounded mean oscillation (BMO) and established their exponential integrability with some unspecified exponential constant. This result is an analogue of the John--Nirenberg inequality for functions of bounded mean oscillation. In this work, we quantify the
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Self-Improving Properties of John–Nirenberg and Poincaré Inequalities on Spaces of Homogeneous Type
Journal of Functional Analysis, 1998 The authors consider inequalities of the form \[ \underset{\mu(B)}\bot \int_B| f-f_B| d\mu\leq ca(B)\quad\text{and} \quad \underset{\mu(B)}\bot \int_B | f-f_B| d\mu\leq cb(B,f). \] In either case \(\mu\) is a measure and \(\mu(B)\) denotes the \(\mu\)-measure of \(B\).
Franchi, Bruno +2 more
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The Merchant of Venice in Auschwitz: Taking Apart Shylock Using the SCM and BIAS Map. [PDF]
Front Psychol, 2020 Knutson SL.
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A sharp symmetric integral form of the John–Nirenberg inequality
Proceedings of the American Mathematical SocietyWe find sharp constants in the symmetric integral form of the John–Nirenberg inequality. The result is based upon the computation of a new interesting Bellman function.
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Some weighted inequalities for Hausdorff operators and commutators. [PDF]
J Inequal Appl, 2018 Hussain A, Ajaib A.
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Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces. [PDF]
J Inequal Appl, 2017 Wang H.
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Program Abstracts from The GSA 2021 Annual Scientific Meeting, "Disruption to Transformation: Aging in the "New Normal"". [PDF]
Innov Aging, 2021 europepmc +1 more source
Thalamic neuron models encode stimulus information by burst-size modulation. [PDF]
Front Comput Neurosci, 2015 Elijah DH, Samengo I, Montemurro MA.
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Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]
J Geom Anal, 2018 Chen GG, Li S.
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