Results 11 to 20 of about 4,638,257 (255)
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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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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Products of Functions in Hardy and Lipschitz or BMO Spaces [PDF]
, 2009 We define as a distribution the product of a function (or distribution) h in some Hardy space Hp with a function b in the dual space of Hp. Moreover, we prove that the product bxh may be written as the sum of an integrable function with a distribution that belongs to some Hardy-Orlicz space, or to the same Hardy space Hp, depending on the values of p.
Justin Feuto, Aline Bonami
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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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On the tangent space to the BMO-Teichmüller space
Journal of Mathematical Analysis and Applications, 2014 Abstract In a previous paper [31] we established the complex analytic manifold theory of the BMO-Teichmuller space. In this paper we identify the function space which is the tangent space to the BMO-Teichmuller space.
Huaying Wei, Yu-liang Shen
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AIMS MathematicsIn this paper, we study the boundedness of the commutator of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces when the symbol functions belong to bounded mean oscillations (BMO) space.
Javeria Younas +4 more
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Results for fractional bilinear Hardy operators in central varying exponent Morrey space
AIMS MathematicsThis paper intends to demonstrate the boundedness of the fractional bilinear Hardy operator and its adjoint on the $ \lambda $-central Morrey space with variable exponents.
Muhammad Asim , Ghada AlNemer
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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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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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Remarks on the weak-strong uniqueness for the 2D quasi-geostrophic equation in BMO space
Applied Mathematics Letters, 2012 Qingqing Liu, Yan Jia, Bo-Qing Dong
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