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equal to infinity
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  等于无穷
     It is proved that the image of a BMO function under the generalized Littlewood-Paley functions is either equal to infinity almost everywhere or in BMO.
     本文证明了BMO函数在广义Littlewood-Paley函数下的象或者几乎处处等于无穷或者属于BMO。
短句来源
     Give the definition of Littlewood Paley operator on spaces of homogeneous type and prove that the image of a BMO function under this operator is either equal to infinity almost everywhere or is in BMO.
     给出了齐型空间上 Littlewood- Paley算子 G的定义 ,证明了当 f是 BMO函数时 ,G( f )或者几乎处处等于无穷 ; 或者其 BMO范数被 f的 BMO范数控制
短句来源
     It is proved that the image of a weighted Lipschitz function under one of these operators is either equal to infinity almost everywhere or is in weighted Lipschitz spaces.
     ,证明了一个加权Lipschitz 函数在Littlewood-Paley算子下的象或者几乎处处等于无穷或者仍是一个加权Lipschitz函数.
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  equal to infinity
For a Damk?hler number equal to infinity, the effect of maximum facilitation factor, dimensionless equilibrium constant, dimensionless velocity and similarity transformation parameter on the performance of separators was investigated.
      
It is proved that the image of a function under the action of these operators is either equal to infinity almost everywhere or is in ?0α,p, where -n>amp;lt;α>amp;lt;1 and 1>amp;lt;p>amp;lt;∞.
      
The cases where the moments take values equal to infinity are of special interest.
      
It is proved that the image of a function under the action of these operators is either equal to infinity almost everywhere or is in ερ,Φ.
      
At the interaction point the discontinuity of the derivatives along the streamline is equal to infinity.
      
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Recently, Shilin Wang obtained some properties of the Littlewood-paley g-function.In this paper, we prove if 0<αl, the Littlewood-Paley g_λ-function of f, g_λ (f) is either equal to infinity everywhere or finity almost everywhere, In last case, g_λ(f)∈Lip_α(R~n) and || gλ(f) ||_(??α)≤c||f||_(??α),where c is a constant depending only on n,λ,ε,a.

最近Shilin Wang得到了Littlewood-Paley g-函数的一些性质.本文证明:当0<α1时,f的gλ函数gλ(f)要么处处为无穷大,要么几乎处处有限;如属后者则gλ(f)∈Lip.(R~n),且||gλ(f)||Aa≤c||f||_(Aa).这里c表示仅与维数n,λ,ε,α有关的常数.

The differential equation of the rope skipping curve is an unintegratle fuction,and thesIope on the curve's boundary is equal to infinity.For this reason,it is necessary to use themiddle insert for calculating the numerical solution of the curve,and it is impossible to usethe direct numerical analysis for evaluating accuratly its error.The paper suggests using theerror between the numerical solution of the area among the curve and coordinate axes and itsreality solution for evaluating the error of the...

The differential equation of the rope skipping curve is an unintegratle fuction,and thesIope on the curve's boundary is equal to infinity.For this reason,it is necessary to use themiddle insert for calculating the numerical solution of the curve,and it is impossible to usethe direct numerical analysis for evaluating accuratly its error.The paper suggests using theerror between the numerical solution of the area among the curve and coordinate axes and itsreality solution for evaluating the error of the numerical solution of the curvem,which hashigh degree of accuracy.

跳绳曲线的微分方程是不可积方程,而且其边界斜率的倒数为无穷大。因此,必须用中插法求其坐标的数值解;此外,用直接数值分析的方法,不能得到准确的误差估计值。作者用曲线与坐标轴所围面积的数值解与其实际值的误差,来间接判定曲线坐标数值解的误差估计值,准确度高.

Give the definition of Littlewood Paley operator on spaces of homogeneous type and prove that the image of a BMO function under this operator is either equal to infinity almost everywhere or is in BMO.

给出了齐型空间上 Littlewood- Paley算子 G的定义 ,证明了当 f是 BMO函数时 ,G( f )或者几乎处处等于无穷 ;或者其 BMO范数被 f的 BMO范数控制

 
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