排序方式: 共有36条查询结果,搜索用时 0 毫秒
21.
22.
Patrick J. Rabier 《Journal of Dynamics and Differential Equations》2003,15(4):779-806
We prove an isomorphism theorem for the operator
in the setting of X-valued Sobolev spaces on the line, where X is a Banach space and A a closed linear operator on X. The result is derived from a recent multiplier theorem of Weis and depends upon both the geometry of X and the behavior of the resolvent of A. Applications are discussed, with an emphasis on PDE Hamiltonian systems. 相似文献
23.
本文给出了Hilbert变换在Banach空间值Hardy空间HB^1(R)上的有界性。 相似文献
24.
《Quaestiones Mathematicae》2013,36(2):111-136
The UMD property of a Banach space is one of the most useful properties when one thinks about possible applications. This is in particular due to the boundedness of the vector-valued Hilbert transform for functions with values in such a space. Looking at operators instead of at spaces, it is easy to check that the summation operator does not have the UMD property. The actual asymptotic behavior however of the UMD constants computed with martingales of length n is unknown. We explain, why it would be important to know this behavior, rephrase the problem of finding these UMD constants and give some evidence of how they behave asymptotically. 相似文献
25.
We characterize the well-posedness for second order discrete evolution equations in unconditional martingale difference spaces by means of Fourier multipliers and R-boundedness properties of the resolvent operator which defines the equation. Applications to semilinear problems are given. 相似文献
26.
一类奇异积分算子在Banach空间值Hardy空间上的有界性 总被引:5,自引:0,他引:5
韦旦 《数学物理学报(A辑)》1997,17(2):235-240
该文绘出了一类卷积型奇异积分算子在Banach空间值Hardy空间H(Rn)上的有界性. 相似文献
27.
28.
In this article, we prove that in UMD Banach spaces the complex inversion formula of the Laplace transform is valid, in the strong sense, for wide classes of families of bounded linear operators. Our approach allows us to recover (in a unified way) known results about C 0-semigroups, cosine functions and resolvent families as well as to prove new results for k-convoluted semigroups and integrated semigroups, among others. 相似文献
29.
《Mathematische Nachrichten》2017,290(13):1971-1990
In this work we prove the existence and uniqueness up to a stopping time for the stochastic counterpart of Tosio Kato's quasilinear evolutions in UMD Banach spaces. These class of evolutions are known to cover a large class of physically important nonlinear partial differential equations. Existence of a unique maximal solution as well as an estimate on the probability of positivity of stopping time is obtained. An example of stochastic Euler and Navier–Stokes equation is also given as an application of abstract theory to concrete models. 相似文献
30.
UMD空间及其应用 总被引:1,自引:0,他引:1
刘培德 《应用泛函分析学报》2002,4(3):280-288
UMD空间是被广泛研究的一类新型的Banach空间,它具有一系列良好的几何性质与分析性质并且与向量值调和分析、随机分析有着广泛深刻的联系。本扼要介绍这类空间的有关问题,主要是以下几个方面:(1)引言(定义与产生背景);(2)UMD空间的几何特性与分析特征;(3)此类空间的例;(4)在向量值调和分析理论中的应用;(5)关于鞅不等式的最优系数问题。 相似文献