共查询到20条相似文献,搜索用时 46 毫秒
1.
We consider a real semi-simple Lie group G with finite center and a maximal compact sub-group K of G. Let be a Cartan decomposition of G. For x∈G denote ∥x∥ the norm of the -component of x in the Cartan decomposition of G. Let and 1?p,q?∞. In this Note we give necessary and sufficient conditions on such that for all K-bi-invariant measurable function f on G, if ea∥x∥2f∈Lp(G) and then f=0 almost everywhere. To cite this article: S. Ben Farah, K. Mokni, C. R. Acad. Sci. Paris, Ser. I 336 (2003). 相似文献
2.
Bernard Coupet Sylvain Damour Joël Merker Alexandre Sukhov 《Comptes Rendus Mathematique》2002,334(11):953-956
Let f:M→M′ be a -smooth CR mapping between a generic real analytic submanifold and a real algebraic subset . We prove that if M is minimal at a point p and if M′ does not contain complex curves, then f is real-analytic at p. To cite this article: B. Coupet et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 953–956. 相似文献
3.
Fateh Chebana 《Comptes Rendus Mathematique》2004,338(4):311-316
The goal of this work is to establish the limit distribution of the process where is a class of weight functions W, fn is the kernel density estimator of the density f and A is a Borelian subset of . We apply this result to derive new statistics to test goodness-of-fit of the density function f. Under some local alternatives, these new tests are more powerful than the usual Bickel–Rosenblatt one. To cite this article: F. Chebana, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
4.
Martial Agueh 《Comptes Rendus Mathematique》2003,337(5):331-336
We use mass transportation inequalities to study the asymptotic behavior for a class of doubly degenerate parabolic equations of the form
(1)
where is , or a bounded domain of in which case on . We investigate the case where the potential V is uniformly c-convex, and the degenerate case where V=0. In both cases, we establish an exponential decay in relative entropy and in the c-Wasserstein distance of solutions – or self-similar solutions – of (1) to equilibrium, and we give the explicit rates of convergence. In particular, we generalize to all p>1, the HWI inequalities obtained by Otto and Villani (J. Funct. Anal. 173 (2) (2000) 361–400) when p=2. This class of PDEs includes the Fokker–Planck, the porous medium, fast diffusion and the parabolic p-Laplacian equations. To cite this article: M. Agueh, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献
5.
6.
7.
Didier DAcunto 《Comptes Rendus Mathematique》2003,337(5):327-330
Let be a closed, non compact C2 manifold and be a C2 function definable in an o-minimal structure. We prove that the flow of the gradient field of f with respect to the induced riemannian metric on V embeds a non singular asymptotic critical level of f into a typical level of f. We apply this result to complex polynomials. To cite this article: D. D'Acunto, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献
8.
Dan Popovici 《Comptes Rendus Mathematique》2004,338(2):151-156
Let be a bounded pseudoconvex open set and let ? be a plurisubharmonic function on For every positive integer m, we consider the multiplier ideal sheaf and the Hilbert space of holomorphic functions f on such that is integrable on We give an effective version, with estimates, of Nadel's result stating that the sheaf is coherent and generated by an arbitrary orthonormal basis of This result is expected to play a major part in the context of current regularizations with estimates of the Monge–Ampère masses. To cite this article: D. Popovici, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
9.
Alexander Olevskii 《Comptes Rendus Mathematique》2002,334(4):279-282
We prove that almost every (in the Baire category sense) weight w on a circle satisfies the following property: any function from can be decomposed as a series which converges in the norm.We discuss this result in the context of the classical Szegö–Kolmogorov “prediction” theorem. To cite this article: A. Olveskii, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 279–282. 相似文献
10.
Jean B Lasserre 《Comptes Rendus Mathematique》2002,335(11):863-866
We present a formula for the optimal value fc(y) of the integer program where is the convex polyhedron . It is a consequence of Brion and Vergne's formula which evaluates the sum . As in linear programming, fc(y) can be obtained by inspection of the reduced-costs at the vertices of the polyhedron. We also provide an explicit result that relates fc(ty) and the optimal value of the associated continous linear program, for large values of . To cite this article: J.B. Lasserre, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 863–866. 相似文献
11.
On , n?1 and n≠2, we prove the existence of a sharp constant for Sobolev inequalities with higher fractional derivatives. Let s be a positive real number. For n>2s and any function satisfies where the operator (?Δ)s in Fourier spaces is defined by . To cite this article: A. Cotsiolis, N.C. Tavoularis, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 801–804. 相似文献
12.
Franck Harou 《Comptes Rendus Mathematique》2003,336(7):597-600
Given a simple 4-fold branched covering , we provide an effective method to find a surgery presentation of M. To cite this article: F. Harou, C. R. Acad. Sci. Paris, Ser. I 336 (2003). 相似文献
13.
M.Francesca Betta Anna Mercaldo François Murat M.Michaela Porzio 《Comptes Rendus Mathematique》2002,334(9):757-762
In this Note we consider a class of noncoercive nonlinear problems whose prototype is where is a bounded open subset of (N?2), △p is the so called p-Laplace operator (1<p<N) or a variant of it, μ is a Radon measure with bounded variation on or a function in , λ?0 and b belongs to the Lorentz space or to the Lebesgue space . We prove existence and uniqueness of renormalized solutions. To cite this article: M.F. Betta et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 757–762. 相似文献
14.
The main result is the following. Let be a bounded Lipschitz domain in , d?2. Then for every with ∫f=0, there exists a solution of the equation divu=f in , satisfying in addition u=0 on and the estimate where C depends only on . However one cannot choose u depending linearly on f. To cite this article: J. Bourgain, H. Brezis, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 973–976. 相似文献
15.
Let f be a holomorphic function of two complex variables with an isolated critical point at . We give some necessary conditions for a rational number to be the smallest θ>0 in the ?ojasiewicz inequality |gradf(z)|?C|z|θ for z near . To cite this article: E. Garc??a Barroso, A. P?oski, C. R. Acad. Sci. Paris, Ser. I 336 (2003). 相似文献
16.
Carlo Sbordone 《Comptes Rendus Mathematique》2003,337(3):165-170
Adjugate Jacobians of mappings can be represented in terms of Jacobian matrices: , for , by mean of symmetric matrix fields with a.e. Under suitable conditions, we prove that weakly in if and only if Γ-converges to a matrix with satisfying . To cite this article: C. Sbordone, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献
17.
Augusto C. Ponce 《Comptes Rendus Mathematique》2003,337(4):253-257
We show that if , is a bounded Lipschitz domain and is a sequence of nonnegative radial functions weakly converging to δ0 then there exist C>0 and n0?1 such that The above estimate was suggested by some recent work of Bourgain, Brezis and Mironescu (in: Optimal Control and Partial Differential Equations, IOS Press, 2001, pp. 439–455). As n→∞ in (1) we recover Poincaré's inequality. We also extend a compactness result of Bourgain, Brezis and Mironescu. To cite this article: A.C. Ponce, C. R. Acad. Sci. Paris, Ser. I 337 (2003). 相似文献
18.
Henri Heinich 《Comptes Rendus Mathematique》2002,334(9):793-795
In this Note, we generalize Gangbo–Swiech theorem for the Monge–Kantorovich problem. We study this problem for Orlicz and Köthe spaces when the function c has the form convex on To cite this article: H. Heinich, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 793–795. 相似文献
19.
In this Note we present some results on the existence of radially symmetric solutions for the nonlinear elliptic equation
(1)
Here N?3, p>1 and denotes the Pucci's extremal operators with parameters 0<λ?Λ. The goal is to describe the solution set as function of the parameter p. We find critical exponents , that satisfy: (i) If then there is no nontrivial solution of (). (ii) If then there is a unique fast decaying solution of (). (iii) If then there is a unique pseudo-slow decaying solution to (). (iv) If pp+<p then there is a unique slow decaying solution to (). Similar results are obtained for the operator . To cite this article: P.L. Felmer, A. Quaas, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 909–914. 相似文献
20.
Aboubakary Diakhaby 《Comptes Rendus Mathematique》2002,334(7):597-602
Our aim is to generalize some results obtained for a Poisson point process in [7], to a general point process. Those results are in field of complete convergence of two like Parzen–Rosenblatt estimates of density of mean measure function and regression curves. Those estimates are defined from the superposition of n i.i.d. point processes as: where m is the number of seem generics points of the superposition. We give some sufficient conditions for the convergence of those kernel-like estimators. To cite this article: A. Diakhaby, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 597–602. 相似文献