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991.
Carlos Lizama 《Journal of Mathematical Analysis and Applications》2006,324(2):921-933
In this paper we characterize the existence and uniqueness of periodic solutions of inhomogeneous abstract delay equations and establish maximal regularity results for strong solutions. The conditions are obtained in terms of R-boundedness of linear operators determined by the equations and Lp- Fourier multipliers. Periodic mild solutions are also studied and characterized. 相似文献
992.
Ming-Yi Lee 《Journal of Mathematical Analysis and Applications》2006,324(2):1274-1281
Let w be a Muckenhoupt weight and be the weighted Hardy spaces. We use the atomic decomposition of and their molecular characters to show that the Bochner-Riesz means are bounded on for 0<p?1 and δ>max{n/p−(n+1)/2,[n/p]rw−1(rw−1)−(n+1)/2}, where rw is the critical index of w for the reverse Hölder condition. We also prove the boundedness of the maximal Bochner-Riesz means for 0<p?1 and δ>n/p−(n+1)/2. 相似文献
993.
994.
We present a systematic characterization of the domain of a generator of a one parameter group on certain C∗-subalgebras of via finite-dimensional estimates. Our approach yields an example of a densely defined closed symmetric derivation on a C∗-subalgebras of whose domain is not closed with respect to the C1-functional calculus. This completes and complements the earlier example of McIntosh (J. Funct. Anal. 30 (1977) 264). Our methods are partly based on the theory of adjoint C0-semigroups. 相似文献
995.
Janusz Morawiec 《Journal of Mathematical Analysis and Applications》2005,309(1):307-312
Using the theory of Markov operators, we give a new proof of the known fact saying that for every positive integers N and k>1, and for every nonnegative reals c0,…,cN satisfying the first sum rule the dilation equation
996.
Lim's theorems for multivalued mappings in CAT(0) spaces 总被引:1,自引:0,他引:1
Let X be a complete CAT(0) space. We prove that, if E is a nonempty bounded closed convex subset of X and a nonexpansive mapping satisfying the weakly inward condition, i.e., there exists p∈E such that ∀x∈E, ∀α∈[0,1], then T has a fixed point. In Banach spaces, this is a result of Lim [On asymptotic centers and fixed points of nonexpansive mappings, Canad. J. Math. 32 (1980) 421-430]. The related result for unbounded R-trees is given. 相似文献
997.
Let M be a complete, connected, two-dimensional Riemannian manifold. Consider the following question: Given any (p1,v1) and (p2, v2) in T M, is it possible to connect p1 to P2 by a curve y in M with arbitrary small geodesic curvature such that, for i = 1, 2, y is equal to vi at pi? In this article, we bring a positive answer to the question if M verifies one of the following three conditions: (a) M is compact, (b) M is asymptotically flat, and (c) M has bounded nonnegative curvature outside a compact subset. 相似文献
998.
We investigate spectral properties of integral operators of the form
acting on Banach spaces of analytic functions on the unit disc. In the case that g is a rational function, analytic on the unit disc, we obtain the spectrum, essential spectrum and index of Sg. Finally, we give examples of such operators pertaining to hyponormality.
Received: 30 August 2004; revised: 25 January 2005 相似文献
999.
Mitsuhiro Itoh 《Journal of Geometric Analysis》2005,15(1):63-81
Study of modified scalar curvatures and the modified Yamabe problem is given. An existence theorem of type of Trudinger and
Aubin is obtained. Interpreting Isotropic curvature as a certain modified scalar curvature we can extend the four-dimensional
sphere theorem of [23]. Another modified scalar curvature is used in solving open problems concerning the conjecture of self-dual
Einstein 4-manifold and the Goldberg conjecture, both being under negative Ricci condition. 相似文献
1000.
Marc Oliver Rieger Paolo Tilli 《Calculus of Variations and Partial Differential Equations》2005,23(4):373-390
We study by means of
-convergence the asymptotics of the rescaled Mumford-Shah functional
when
and prove the existence of a
-limit. The limit functional is easy to handle and can be used as a simple approximation to the original Mumford-Shah functional. Moreover, its minimizers can be interpreted as a sort of asymptotic probability distribution of the sets
. Some examples illustrate the use of this method in image segmentation.Received: 12 June 2004, Accepted: 12 July 2004, Published online: 10 December 2004 相似文献