1) oscillatory singularity
振荡奇异性
1.
It is found that the elastoplastic stress field still has oscillatory singularity theoretically.
通过对扩张了的Ｄｕｎ－ｄｕｒｓ异材参数β的讨论分析了应力场的振荡奇异
2) oscillatory stress singularity
振荡应力奇异性
3) Multilinear oscillatory singular integral
多线性振荡奇异积分
1.
A class of multilinear oscillatory singular integral operators is studied and their boundedness on Lebesgue spaces L p(R)(1<p<∞) is obtained.
考虑了一类多线性振荡奇异积分算子并获得了其在一维 Lebesgue空间 Lp(R) (1
4) oscillatory singular integral
振荡奇异积分
1.
Ricci and Stein showed that some oscillatory singular integral operators are bounded on Lp(Rn)(1<p<∞).
Ricci和Stein证明了一类振荡奇异积分算子的Lp(Rn)(1
2.
In this paper, we show that the weightes norm inequality ∫ R n |Tf(x)| pw(x)dxC∫ R n |f(x)| pM +1 w(x) dx, 1<p<∞, holds for oscillatory singular integral operators with polynomial phases, where M is the Hardy Littlewood maximal operator and M k is M iterated k times, is the integer part of p .
本文证明：对于带多项式相函数的振荡奇异积分算子，权模不等式∫Ｒｎ｜Ｔｆ（ｘ）｜ｐｗ（ｘ）ｄｘＣ∫Ｒｎ｜ｆ（ｘ）｜ｐＭ［ｐ］＋１ｗ（ｘ）ｄｘ，１＜ｐ＜∞成立，其中ｗ是非负局部可积的权函数，Ｍｋ表示Ｈａｒｄｙ－Ｌｉｔｌｅｗｏｏｄ极大算子的ｋ次迭代，［ｐ］表示ｐ的整数部
3.
It is proved that the oscillatory singular integral operators (convolution type or non-convolution type) are bounded from the non-homogeneous Hardy spaces HK_q￣(a.
令０＜ｐ＝１＜ｑ＜∞，α＝ｎ（１／ｐ－１／ｑ），证明了振荡奇异积分算子是从ＨＫ到（Ｒｎ）的有界算子，只要ｐ，ｑ满足一定关系。
5) singular oscillating functions
奇异振荡函数
1.
For the infinite double integrals involved in the problem, an effective asymptotic extraction technique is applied, which transforms the infinite double integrals of singular oscillating functions into the finite one dimensional integrals.
对求解过程中遇到的奇异振荡函数积分，采用渐进抽取技术，将二维无限区间的积分转化为一维有限区间的定积分。
6) generalized Calderón-Zygmund kernel
多线性振荡奇异积分算子
1.
Weighted L~p-boundedness of multilinear oscillatory singular integral with generalized Calderón-Zygmund kernel
广义Calderón-Zygmund核的多线性振荡奇异积分算子的加权L~p-有界性(英文)
补充资料：连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt，n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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