Results 221 to 230 of about 9,864 (257)
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Two characterizations of central BMO space via the commutators of Hardy operators

, 2021
This article addresses two characterizations of BMO⁢(ℝn){\mathrm{BMO}(\mathbb{R}^{n})}-type space via the commutators of Hardy operators with homogeneous kernels on Lebesgue spaces: (i) characterization of the central BMO⁢(ℝn){\mathrm{BMO}(\mathbb{R}^{n})
Zunwei Fu, Shan-zhen Lu, S. Shi
semanticscholar   +1 more source

BMO from dyadic BMO on the bidisc

Journal of the London Mathematical Society, 2008
AbstractWe generalize to the bidisc a theorem of Garnett and Jones relating the space BMO of functions of bounded mean oscillation to its martingale counterpart, dyadic BMO. Namely, translation‐averages of suitable families of dyadic BMO functions belong to BMO.
Jill Pipher, Lesley Ward
openaire   +3 more sources

On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO

, 2020
It is known that the compactness of the commutators of point-wise multiplication with bilinear homogeneous Calderon–Zygmund operators acting on product of Lebesgue spaces is characterized by the multiplying function being in the space CMO.
R. Torres, Qingying Xue
semanticscholar   +1 more source

A REMARK ON A BMO MARTINGALE

Acta Mathematica Scientia, 2000
Summary: A negative answer to a question raised by \textit{R. Durrett} [``Brownian motion and martingales in analysis'' (1984; Zbl 0554.60075)] about a BMO martingale is given.
Kainan Xiang, Kainan Xiang
openaire   +3 more sources

BMO Spaces on Weighted Homogeneous Trees

, 2020
We consider an infinite homogeneous tree $${\mathcal {V}}$$ V endowed with the usual metric d defined on graphs and a weighted measure $$\mu $$ μ . The metric measure space $$({\mathcal {V}},d,\mu )$$ ( V , d , μ ) is nondoubling and of exponential ...
Laura Arditti, A. Tabacco, M. Vallarino
semanticscholar   +1 more source

Properties of BMO Functions whose Reciprocals are also BMO

Zeitschrift für Analysis und ihre Anwendungen, 1993
The paper gives some properties of the space \(\text{BMO}_ *=\{w\in\text{BMO}: 1/\omega\in\text{BMO}\}\) such as Theorem 1. A real- valued function \(u\) is in \(\text{BMO }\Leftrightarrow\) there exists \(w\in \text{BMO}_ *\) such that \(u=w-1/w\) (a consequence of \(\text{Lip }\alpha\)-operatability on BMO); Theorem 3.
C. Neugebauer, R. Johnson
openaire   +2 more sources

Bloom Type Upper Bounds in the Product BMO Setting

Journal of Geometric Analysis, 2018
We prove some Bloom type estimates in the product BMO setting. More specifically, for a bounded singular integral Tn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Kangwei Li   +2 more
semanticscholar   +1 more source

Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach

Mathematische Annalen, 2017
We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings.
Á. Bényi   +4 more
semanticscholar   +1 more source

BMO-quasiconformal mappings

Journal d'Analyse Mathématique, 2001
Let \(f\) denote an ACL sense-preserving open and discrete mapping defined in a domain of the complex plane (where ACL stands for absolutely continuous on lines). Then the complex dilatation \(\mu(z)=\overline \partial f(z)/ \partial f(z)\) with \(|\mu |
Vladimir Ryazanov   +2 more
openaire   +2 more sources

Applicability of ISNT Rule Using BMO-MRW to Differentiate Between Healthy and Glaucomatous Eyes

Journal of glaucoma, 2018
Purpose: We evaluated the applicability of the ISNT rule using Bruch’s membrane opening minimum rim width (BMO-MRW) in healthy eyes and eyes with normal tension glaucoma (NTG).
D. Park, Eun Jung Lee, J. Han, C. Kee
semanticscholar   +1 more source

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