Results 11 to 20 of about 4,589,015 (245)
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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A characterization of $${{\mathrm{BMO}}}$$BMO self-maps of a metric measure space [PDF]
Collectanea Mathematica, 2013 This paper studies functions of bounded mean oscillation ($${{\mathrm{BMO}}}$$BMO) on metric spaces equipped with a doubling measure. The main result gives characterizations for mappings that preserve $${{\mathrm{BMO}}}$$BMO.
J. Kinnunen +3 more
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Functional Calculus on BMO and Related Spaces
Journal of Functional Analysis, 2002 AbstractLet f be a Borel measurable function of the complex plane to itself. We consider the nonlinear operator Tf defined by Tf[g]=fg, when g belongs to a certain subspace X of the space BMO(Rn) of functions with bounded mean oscillation on the Euclidean space.
Gérard Bourdaud +2 more
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$BMO$ spaces for nondoubling metric measure spaces [PDF]
Publicacions Matemàtiques, 2019 In this article we study the family of $BMO^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions.
Dariusz Kosz
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Comparison of the classical BMO with the BMO spaces associated with operators and applications
Revista Matemática Iberoamericana, 2008 Let L be a generator of a semigroup satisfying the Gaussian upper bounds. A new {\rm BMO}_L space associated with L was recently introduced in [Duong, X. T.
Donggao Deng +3 more
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BMO spaces associated with semigroups of operators [PDF]
Mathematische Annalen, 2011 We study BMO spaces associated with semigroup of operators and apply the results to boundedness of Fourier multipliers. We prove a universal interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < \infty, with optimal constants in p.
Marius Junge, T. Mei
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BMO-Teichmüller spaces revisited [PDF]
Journal of Mathematical Analysis and Applications, 2017 19 ...
Huaying Wei, Michel Zinsmeister
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Universal Teichmüller space and BMO
Advances in Mathematics, 2013 AbstractWe first give some new characterizations on BMOA–Teichmüller space and various characterizations on VMOA–Teichmüller space as well. In particular, we prove that a quasisymmetric conformal welding h corresponds to an asymptotically smooth curve in the sense of Pommerenke (1978) [32] precisely when h is absolutely continuous with logh′∈VMO.
Yu-liang Shen, Huaying Wei
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Variation of Bruch's membrane opening in response to intraocular pressure change during scleral lens wear, in a population with keratoconus. [PDF]
Ophthalmic Physiol OptAbstract Purpose The present study aimed to determine the potential impact of scleral lenses on intraocular pressure (IOP) by analysing the Bruch's membrane opening–minimum rim width (BMO‐MRW) while the lenses are worn, in a population with keratoconus.
Michaud L, Balourdet S, Samaha D.
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A note on the BMO-Teichmüller space
Journal of Mathematical Analysis and Applications, 2016 Abstract Astala–Zinsmeister [2] introduced a new topology on the set of all strongly quasisymmetric homeomorphisms of the unit circle denoted by SQS ( S 1 ) by means of BMO norm. Under this new topology, we prove that SQS ( S 1 ) is a partial topological group, and the characteristic topological subgroup of ...
Huaying Wei
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