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91.
高智民 《数学物理学报(B辑英文版)》2006,26(1)
In 1988, J.Nagata raised a problem about metrizability. The present article is an attempt to find a solution to the problem. 相似文献
92.
P.G. Lemarié-Rieusset A. Zhioua 《Journal of Mathematical Analysis and Applications》2006,320(1):205-229
We study the extension of Ukai's formula to the case of singular initial values for the Stokes problem on the half space. 相似文献
93.
Yuan Jia 《偏微分方程(英文版)》2008,21(3):208-220
We give blow-up criteria of strong solutions of Navier-Stokes equations with its initial data in Besov spaces and consider the regularity of Leray-Hopf solutions of the equation. 相似文献
94.
关于分层空间度量化的一个问题 总被引:1,自引:0,他引:1
利用g-函数研究广义度量空间和度量化,统一了近年来许多有趣的工作.本文回答了[2]中提出的一个问题.所讨论的拓扑空间是正则的. 相似文献
95.
研究了Littlewood-Paley g_λ~*-函数交换子的端点估计.利用函数分解技术,证明了当q1时g_λ~*-函数与LMO(R~n)(BMO(R~n)的一个子空间)函数生成的交换子[b,g_λ~*]是局部Hardy空间h1(R~n)到空间h~1(R~n)+L~q(R~n)的一个连续映射.推广了Coifman,Rochberg和Weiss关于交换子的经典结果. 相似文献
96.
We establish sharp estimates for some multilinear commutators related to the Littlewood-Paley and Marcinkiewicz operators.
As an application, we obtain the weighted norm inequalities and L log L type estimate for the multilinear commutators.
相似文献
97.
Takeshi Kawazoe 《分析论及其应用》2009,25(3):201-229
For α≥β≥ -1/2 let Δ(x) = (2shx)2α+1(2chx)2β+1 denote the weight function on R+ and L1(Δ) the space of integrable functions on R+ with respect to Δ(x)dx, equipped with a convolution structure. For a suitable φ∈ L1(Δ), we put φt(x) = t-1Δ(x)-1Δ(x/t)φ(x/t) for t > 0 and define the radial maximal operator Mφ as usual manner. We introduce a real Hardy space H1(Δ) as the set of all locally integrable functions f on R+ whose radial maximal function Mφ(f) belongs to L1(Δ). In this paper we obtain a relation between... 相似文献
98.
Given initial data u0 ∈ Lp(R3) for some p in[3, 18/5[, the auhtors ?rst prove that 3D incompressible Navier-Stokes system has a unique solution u = uL+v with uL def = et?u0 and v ∈ e L∞([0, T]; ˙ H5/2 ? 6/p ) ∩ L1(]0, T[; ˙H9/2 ? 6/p ) for some positive time T. Then they derive an explicit lower bound for the radius of space analyticity of v, which in particular extends the corresponding results in [Chemin, J.-Y., Gallagher, I. and Zhang, P., On the radius of analyticity of solutions to semi-linear parabolic system, Math. Res. Lett., 27, 2020, 1631– 1643, Herbst, I. and Skibsted, E., Analyticity estimates for the Navier-Stokes equations, Adv. in Math., 228, 2011, 1990–2033] with initial data in ˙Hs(R3) for s∈[1/2,3/2[. 相似文献
99.
Endpoint estimates of generalized homogeneous Littlewood–Paley <Emphasis Type="Italic">g</Emphasis>-functions over non-homogeneous metric measure spaces 下载免费PDF全文
Let (χ, d, μ) be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions. Under the weak reverse doubling condition, the authors prove that the generalized homogeneous Littlewood-Paley g-functionr (r∈[2,∞)) is bounded from Hardy space H1(μ) into L1(μ). Moreover, the authors show that, if f ∈ RBMO(μ), then[r(f)]r is either infinite everywhere or finite almost everywhere, and in the latter case,[r(f)]r belongs to RBLO(μ) with the norm no more than ‖f‖RBMO(μ) multiplied by a positive constant which is independent of f. As a corollary, the authors obtain the boundedness ofr from RBMO(μ) into RBLO(μ). The vector valued Calderón-Zygmund theory over (χ, d, μ) is also established with details in this paper. 相似文献
100.
Let hR denote an L∞ normalized Haar function adapted to a dyadic rectangle R⊂d[0,1]. We show that for choices of coefficients α(R), we have the following lower bound on the L∞ norms of the sums of such functions, where the sum is over rectangles of a fixed volume: