1) L~q-Dini condition
Lq-Dini条件
1.
It is known that when a homogeneous function of degree zero satisfies L~q-Dini condition,the singular integral operator is bounded on L~p(1<p<∞).
我们知道,零次齐次函数Ω(x)满足Lq-Dini条件时,奇异积分算子T是Lp有界的,其中1
2) Dini type condition
Dini型条件
1.
For the commutators of Multilinear Marcinkiewicz integral μΩ,A(f)(x),the endpoint estimates are obtained when function b(x)∈BMO,Ω satisfies the Dini type conditions.
得到了当函数b(x)∈BMO,Ω满足Dini型条件时多线性Marcinkiewicz积分交换子μΩ,A(f)(x)的端点估计。
2.
For the commutators μ_(Ω,b)(f) of Marcinkiewicz integrals with Ω satisfying the Dini type condition,it is shown that the following inequality holdsu(｛x∈R~n:μ_(Ω,b)(f)(x)>λ｝)≤CCt~p∫_(R~n)|f|~pvdx,where(u,v) satisfy(1|Q|∫_Qu~rdx)~(1/rp)‖v~(-1/p)‖_(c,Q)≤C<∞.
得到了Ω满足Dini型条件时Marcinkiewicz积分交换子μΩ,b(f)的双权弱型估计u({x∈Rn:μΩ,b(f)(x)>λ})≤CtC∫pRn|f|pvdx,其中(u,v)满足(|1Q|∫Qurdx)1/rp‖v-1/p‖c,Q≤C<∞。
3) Dini condition
Dini条件
1.
Let {p_j}~m_(j=1) be positive continuous real-valued function on R~d,and {logp_j}~m_(j=1) satisfy the Dini condition.
设{pj}jm=1是Rd上的正连续函数,且{logpj}jm=1满足Dini条件。
2.
Boundary regularity results for viscosity solutions of Poisson s equation and fully nonlinear uniformly elliptic equations under the Dini condition are obtained by use of Caffarelli s perturbation method, which give a simple proof of Theorem 4.
笔者利用Caffarelli扰动方法,证明了Poisson方程和完全非线性一致椭圆型方程在Dini条件下其粘性解的边界正则性,从而给出了文[8]定理4。
4) Dini-type condition
Dini型条件
1.
Estimation and application of kernel of singular integral operators with Dini-type condition;
具有Dini型条件的奇异积分算子的核的估计及应用
2.
It is proved that the Marcinkiewicz integralμΩis an operator of type (Hp,∞, Lp,∞) for 0 < p < I, hereΩis homogeneous of degree zero on Rn and satisfies a kind of Dini-type condition.
本文证明了Marcinkiewicz积分μΩ是(Hp,∞,Lp,∞)型的算子(0
3.
In the first chapter,we prove that the Marcinkiewicz integral op-eratorμΩis an operator of type(H~(p,∞),L~(p,∞))for(0＜p＜1),hereΩis homogeneous of degree zero on R~n satisfying a kind of Dini-type condition.
在第一章中,我们证明了Marcinkiewicz积分算子μΩ是(H~(p,∞),L~(p,∞))型的算子(0＜p＜1),这里Ω是满足一类Dini型条件的R~n上的零次齐次函数。
5) Lr-Dini conditions
LT-Dini条件
6) Lr-Dini condition
Lr-Dini条件
补充资料：quantitative determination limit LQ
分子式：
CAS号：
性质： 根据能谱统计特性给出的用于估算放射性定量测定误差的一个物理量。若样品中存在的放射性大于LQ，则可认为放射性可以某一相对标准偏差被定量测定。
CAS号：
性质： 根据能谱统计特性给出的用于估算放射性定量测定误差的一个物理量。若样品中存在的放射性大于LQ，则可认为放射性可以某一相对标准偏差被定量测定。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条