Sentence examples for oscillation space from inspiring English sources

The bounded mean oscillation space (mathit{BMO}(mathbb {R}^{n})) is defined as follows.

The bounded mean oscillation space (operatorname{BMO}(mathbb{R}^{n})) was first introduced by John-Nirenberg [16] to study some problems arising from elasticity theory.

Having such a property an appropriate function space is the homogeneous central mean oscillation space (Cdot{M}O^{q}(mathbb {R}^{n})).

If w is a weight function and (f_{B,w}=frac{1}{w(B(0,R))}int _{B 0,R)} vert f y) vert w y),dy), then the weighted central mean oscillation space can be defined as follows.

Let (T_{beta}= -Delta+V)^{-beta}V^{beta}) and (bin operatorname{BMO}_{sigma}(rho)), where (operatorname{BMO}_{sigma}(rho)) denotes a function space associated with L. Such spaces were first introduced by Bongioanni, Harboure, and Salinas [14] as a generalization of the bounded mean oscillation space (operatorname{BMO}(mathbb{R}^{n})).

Then we say a function (f in L_{mathrm{loc}}^{q}(mathbb{R}^{n};w)) belongs to the weighted central mean oscillation space (Cdot {M}O^{q}(mathbb{R}^{n};w)) if Vert f Vert _{Cdot{M}O^{q}(mathbb{R}^{n};w)}=sup_{R>0} biggl( frac{1}{w(B(0,R))} int_{B 0,R)} biglvert f(x -f_{B,w} bigrvert ^{q}w(x -f_{Biggr)^{1/q}< infty.

Alvarez et al. [7], in order to study the relationship between central BMO spaces and Morrey spaces, introduced λ-central bounded mean oscillation spaces and central Morrey spaces.

Alvarez et al. [29], in order to study the relationship between central (BMO) spaces and Morrey spaces, introduced λ-central bounded mean oscillation spaces and central Morrey spaces (dot{B}_{p,mu}({mathbb{R}^{n}}) equiv LM_{p,n+npmu}({mathbb{R}^{n}})), (muin [-frac {1}{p},0]).

MINOS is designed to explore the neutrino oscillation parameter space favored by the SuperKamiokande Experiment.

We present MonteCUBES ("Monte Carlo Utility Based Experiment Simulator"), a software package designed to sample the neutrino oscillation parameter space through Markov Chain Monte Carlo algorithms.

The bounded mean oscillation function space B M O was first introduced by John and Nirenberg [18] in the study of regular solutions of elliptic PDEs.