Results 11 to 20 of about 405,780 (215)

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
doaj   +4 more sources

BMO with respect to Banach function spaces

Mathematische Annalen, 2022
For every cube $Q \subset \mathbb{R}^n$ we let $X_Q$ be a quasi-Banach function space over $Q$ such that $\|χ_Q\|_{X_Q} \simeq 1$, and for $X= \{X_Q\}$ define \begin{align*} \|f\|_{\mathrm{BMO}_X} &:=\sup_Q \,\|f-{\textstyle\frac{1}{|Q|}\int_Qf} \|_{X_Q},\\ \|f\|_{\mathrm{BMO}_X^*} &:=\sup_Q \,\inf_c\, \|f-c\|_{X_Q}.
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi   +2 more
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Embeddings between operator-valued dyadic BMO spaces [PDF]

arXiv, 2008
We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterisations of scalar BMO.
Óscar Blasco, Sandra Pott
arxiv   +5 more sources

Advection Dispersion Equation and BMO Space [PDF]

Journal of Applied Mathematics and Physics, 2013
In this paper, we provide a new way of characterizing the upper and lower bound for the concentration and the gradient of concentration in advection dispersion equation under the condition that source term, concentration and stirring term belong to BMO space.
Kan Zhang, Tieliang Wang, Xue Feng
openalex   +3 more sources

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.
Aline Bonami, Justin Feuto
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Function spaces between BMO and critical Sobolev spaces

Journal of Functional Analysis, 2006
The function spaces D-k(R-n) are introduced and studied. The definition of these spaces is based on a regularity property for the critical Sobolev spaces W-s,W-p(R-n), where sp = n, obtained by J.Bourgain, H.Brezis, New estimates for the Laplacian, the div-curl, and related Hodge systems, C. R. Math. Acad. Sci. Paris 338 (7) (2004) 539-543 (see also J.
Jean Van Schaftingen
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Maximal operators on spaces BMO and BLO [PDF]

We consider maximal kernel-operators on abstract measure spaces $(X,μ)$ equipped with a ball-basis. We prove that under certain asymptotic condition on the kernels those operators maps boundedly BMO(X) into BLO(X), generalizing the well-known results of Bennett-DeVore-Sharpley and Bennett for the Hardy-Littlewood maximal function.
Grigori A. Karagulyan
openalex   +3 more sources

Variation of Bruch's membrane opening in response to intraocular pressure change during scleral lens wear, in a population with keratoconus. [PDF]

Ophthalmic Physiol Opt
Abstract 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.
europepmc   +2 more sources

Performance-Based Outcome Measures After Hip or Knee Arthroplasty: A Systematic Review and Content Analysis Using the International Classification of Functioning, Disability and Health (ICF). [PDF]

J Eval Clin Pract
ABSTRACT Rational One of the important considerations to select the appropriate outcome measures is determining if the tool is relevant to patients. Despite the availability of various performance‐based tests to objectively assess function, it is unknown which performance‐based tests best capture important aspects of function after hip or knee ...
Karimijashni M, Abtahi F, Abbasalipour S, Dabbagh A, Ranjbar P, Westby M, Ramsay T, Beaulé P, Poitras S.   +8 more
europepmc   +2 more sources

Hybrid Bird Mating Optimizer With Single-Based Algorithms for Combinatorial Optimization Problems

IEEE Access, 2021
Bird mating optimizer (BMO) is a population-based metaheuristic that has been recently extended to solve combinatorial optimization problems. Even though the algorithm shows promising performance in solving combinatorial optimization problems, it suffers
Anas Arram, Masri Ayob, Alaa Sulaiman
doaj   +1 more source