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921.
《Mathematische Nachrichten》2017,290(2-3):349-366
In this paper, we give a new characterization for the boundedness of weighted differentiation composition operator from logarithmic Bloch spaces to Bloch‐type spaces and calculate its essential norm in terms of the n‐th power of induced analytic self‐map on the unit disk. From which a sufficient and necessary condition of compactness of this operator follows immediately. 相似文献
922.
923.
924.
Summary. In this paper, we consider some nonlinear inexact Uzawa methods for iteratively solving linear saddle-point problems. By
means of a new technique, we first give an essential improvement on the convergence results of Bramble-Paschiak-Vassilev for
a known nonlinear inexact Uzawa algorithm. Then we propose two new algorithms, which can be viewed as a combination of the
known nonlinear inexact Uzawa method with the classical steepest descent method and conjugate gradient method respectively.
The two new algorithms converge under very practical conditions and do not require any apriori estimates on the minimal and
maximal eigenvalues of the preconditioned systems involved, including the preconditioned Schur complement. Numerical results
of the algorithms applied for the Stokes problem and a purely linear system of algebraic equations are presented to show the
efficiency of the algorithms.
Received December 8, 1999 / Revised version received September 8, 2001 / Published online March 8, 2002
RID="*"
ID="*" The work of this author was partially supported by a grant from The Institute of Mathematical Sciences, CUHK
RID="**"
ID="**" The work of this author was partially supported by Hong Kong RGC Grants CUHK 4292/00P and CUHK 4244/01P 相似文献
925.
Gaven J. Martin 《Mathematische Annalen》2002,324(2):329-340
A uniformly quasiregular mapping, is a mapping of the m-sphere with the property that it and all its iterates have uniformly bounded distortion. Such maps are rational with respect to
some bounded measurable conformal structure and there is a Fatou-Julia type theory associated with the dynamical system obtained
by iterating these mappings. We begin by investigating the analogue of Siegel's theorem on the local conjuga cy of rotational
dynamics. We are led to consider the analytic continuation properties of solutions to the highly nonlinear first order Beltrami
systems. We reduce these problems to a central and well known conjecture in the theory of transformation groups; namely the
Hilbert-Smith conjecture, which roughly asserts that effective transformation groups of manifolds are Lie groups. Our affirmative
solution to this problem then implies unique analytic continuation and Siegel's theorem.
Received: 14 September 2000 / Revised version: 23 November 2001 / Published online: 5 September 2002
RID="*"
ID="*" Research supported in part by grants from the Marsden Fund and Royal Society (NZ). 相似文献
926.
Michael Capalbo 《Combinatorica》2002,22(3):345-359
For all positive integers N and k, let denote the family of planar graphs on N or fewer vertices, and with maximum degree k. For all positive integers N and k, we construct a -universal graph of size . This construction answers with an explicit construction the previously open question of the existence of such a graph.
Received July 8, 1998
RID="*"
ID="*" Supported by NSF grant CCR98210-58 and ARO grant DAAH04-96-1-0013. 相似文献
927.
Dedicated to the memory of Paul Erdős
A graph is called -free if it contains no cycle of length four as an induced subgraph. We prove that if a -free graph has n vertices and at least edges then it has a complete subgraph of vertices, where depends only on . We also give estimates on and show that a similar result does not hold for H-free graphs––unless H is an induced subgraph of . The best value of is determined for chordal graphs.
Received October 25, 1999
RID="*"
ID="*" Supported by OTKA grant T029074.
RID="**"
ID="**" Supported by TKI grant stochastics@TUB and by OTKA grant T026203. 相似文献
928.
Alexandr V. Kostochka 《Combinatorica》2002,22(2):275-285
Dedicated to the memory of Paul Erdős
Let f(r,p,t) (p > t >= 1, r >= 2) be the maximum of the cardinality of a minimum transversal over all r-uniform hypergraphs possessing the property that every subhypergraph of with p edges has a transversal of size t. The values of f(r,p,2) for p = 3, 4, 5, 6 were found in [1] and bounds on f(r,7,2) are given in [3]. Here we prove that for large p and huge r.
Received September 23, 1999
RID="*"
ID="*" This work was partially supported by the grant 99-01-00581 of the Russian Foundation for Fundamental Research and the
Dutch–Russian Grant NWO-047-008-006. 相似文献
929.
Small compact perturbation of strongly irreducible operators 总被引:4,自引:0,他引:4
An operatorT onH is called strongly irreducible ifT is not similar to any reducible operators. In this paper, we shall say yes to answer the following question raised by D. A. Herrero.Given an operatorT with connected spectrum (T) and a positive number , can we find a compact operatorK with K < such thatT+K is strongly irreducible?Supported by National Natural Science Foundation of China(19901011), Mathematical Center of State Education Commission of China and 973 Project of China 相似文献
930.
Marian E. Robbins 《Integral Equations and Operator Theory》2002,43(4):480-487
Given a large weighted Hardy space we show there exists a composition operatorC
with that maps from that space into the unweighted Dirichlet space and lies in every Schatten p-class for 0<p<. This is in contrast to the situation in which the image space is a smaller weighted Dirichlet space. It is known that in that case it is not possible to find such a composition operator that is bounded.This research was supported in part by a summer stipend from Bellarmine College. 相似文献