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Let F={H1,...,Hk}(k> 1) be a family of graphs.The Turán number of the family F is the maximum number of edges in an n-vertex {H1,...,Hk)-free graph,denoted by ex(n,F) or ex(n,{H1,H2,...,Hk}).The blow-up of a graph H is the graph obtained from H by replacing each edge in H by a clique of the same size where the new vertices of the cliques are all different.In this paper we determine the Turán number of the family cons... 相似文献
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《数学研究与评论》1989,(1)
1. Introduction A theorem of Carleson,as generalized by Duren characterizes those positive measure μ on the unit disc U={z∈C:|z|<1} for which the H~p norm domiates the L~q(μ) norm of elements of H~p. Later on, Hasting proved an analogous results with H~p replaced by A~p, the Bergman space of fuctions f 相似文献
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In this paper we are concerned with the exceptional set of the sum of two squares of primesand a cube of a prime P;+p;+p;.Noting that竹三1 or 3(mod 6)is a necessary conditionfor the solvability of the equation n=P}+P;+P;(see【1]),we define E(N)=Card{n:n≤N,礼∈三and n≠P;+Pi+P;for any Pi,1≤i s 3), (1)where三={n:n三1 or 3(mod 6)). This and similar problems have been studied by a number of authors.In 1937,Davenportand Heilbronn[2J proved that if后2 3 is an odd integer then almost all posi… 相似文献
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A. V. Menovshchikov 《Siberian Mathematical Journal》2017,58(4):649-662
Given a homeomorphism ? ∈ W M 1 , we determine the conditions that guarantee the belonging of the inverse of ? in some Sobolev–Orlicz space W F 1 . We also obtain necessary and sufficient conditions under which a homeomorphism of domains in a Euclidean space induces the bounded composition operator of Sobolev–Orlicz spaces defined by a special class of N-functions. Using these results, we establish requirements on a mapping under which the inverse homeomorphism also induces the bounded composition operator of another pair of Sobolev–Orlicz spaces which is defined by the first pair. 相似文献
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InequalityfortheMomentofaFunctionofaRandomVariable¥LiBainianHuShuhe(李柏年,胡舒合)(AnhuiInstituteofFinanceandTrade)(AnhuiUniversity... 相似文献
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In 1923, Hardy and Littlewood[1] conjectured that each integer n can be written asp+m12+ m22 = n,and Linnik[2,3] proved that this conjecture is true. But if these mi with i = 1,2 are restricted to primes Pi, the corresponding result is out of reach at present. We consider the following Diophantine equation 相似文献
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SHEN Liang LMAM School of Mathematical Sciences Peking University Beijing China 《中国科学A辑(英文版)》2006,49(9):1284-1296
Let f(z) = e2πiθz(1 z/d)d,θ∈R\Q be a polynomial. Ifθis an irrational number of bounded type, it is easy to see that f(z) has a Siegel disk centered at 0. In this paper, we will show that the Hausdorff dimension of the Julia set of f(z) satisfies Dim(J(f))<2. 相似文献
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Zhi-qiang XU Institute of Computational Math Sci/Eng Computing Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing China 《中国科学A辑(英文版)》2007,50(2):285-291
In this paper, an explicit formulation for multivariate truncated power functions of degree one is given firstly. Based on multivariate truncated power functions of degree one, a formulation is presented which counts the number of non-negative integer solutions of s×(s 1) linear Diophantine equations and it can be considered as a multi-dimensional versions of the formula counting the number of non-negative integer solutions of ax by = n which is given by Popoviciu in 1953. 相似文献
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Xiong Ping DAI Zuo Ling ZHOU 《数学学报(英文版)》2006,22(1):207-210
Let X be a metrizable space and let φ:R× X → X be a continuous flow on X. For any given {φt}-invariant Borel probability measure, this paper presents a {φt}-invariant Borel subset of X satisfying the requirements of the classical ergodic theorem for the contiImous flow (X, {φt}). The set is more restrictive than the ones in the literature, but it might be more useful and convenient, particularly for non-uniformly hyperbolic systems and skew-product flows. 相似文献
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