本刊英文版Vol.29(2013),No.11论文摘要(英文)

<正>Vitali Type Convergence Theorems for Banach Space Valued Integrals Marek BALCERZAK Kazimierz MUSIAL Abstract Let(Ω,∑,μ)be a complete probability space and let X be a Banach space.We introduce the notion of scalar equi-convergence in measure which being applied to sequences of Pettis integrable functions generates a new convergence theorem.We also obtain a Vitali type I-convergence theorem for Pettis integrals where I is an ideal on N.On Universally Left-stability ofε-Isometry     

本刊英文版Vol.29(2013),No.7论文摘要(英文)

<正>Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces Feng LIU Huo Xiong WU Abstract In this paper,the parabolic Marcinkiewicz integral operators on the product spaces R^m×Rm×Rⁿ(m,n≥2)are studied.The Ln(m,n≥2)are studied.The L^p-boundedness for such operators are established under rather weak size conditions of the kernels,which essentially improve or extend certain previous results.     

本刊英文版Vol.29(2013),No.8论文摘要(英文)

<正>L(j,k)-number of Direct Product of Path and Cycle Wai Chee SHIU Qiong WU Abstract For positive numbers j and k,an L(j,k)-labeling f of G is an assignment of numbers to vertices of G such that |f(u)-f(v)|≥j if uv∈E(G),and |f(u)-f(v)|≥k if d(u,v)=2.Then the span of f is the difference between the maximum and the minimum numbers assigned by f.The L(j,k)-number of G,denoted byλ_(j,k)(G),is the minimum span over     

本刊英文版Vol.29(2013),No.5论文摘要

<正>A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator H.M.SRIVASTAVA Dorina RADUCANU Grigore S.SALAGEAN Abstract In this paper,we consider a new class CS_(s,b)^* of generalized close-to-starlike functions, which is defined by means of the Srivastava-Attiya operator J_(s,b) involving the Hurwitz-Lerch Zeta functionΦ(z,s,a).Basic results such as inclusion relations,coefficient inequalities and other interesting properties of this class are investigated.Relevant connections of some of     

本刊英文版Vol.29(2013),No.6论文摘要

<正>Total Restrained Bondage in Graphs Nader JAFARI RAD Roslan HASNI Joanna RACZEK Lutz VOLKMANN Abstract A subset S of vertices of a graph G with no isolated vertex is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex in V(G)-S is also adjacent to a vertex in V(G)-S.The total restrained domination number of G is the minimum cardinality of a total restrained dominating set of G.In this paper we initiate the study of     

本刊英文版Vol.29(2013),No.3论文摘要

<正>The Discrete Subgroups and Jφrgensen's Inequality for SL(m,C_p) Wei Yuan QIUJing Hua YANGYong Cheng YIN Abstract In this paper,we give discreteness criteria of subgroups of the special linear group on Q_p or C_p in two and higher dimensions.Jφrgensen's inequality gives a necessary condition for a non-elementary group of Mbius transformations to be discrete.We give a version     

本刊英文版Vol.30(2014),No.12论文摘要(英文)

<正>Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f(Ω)R~n be a W~(1,1)-homeomorphism with L~1-integrable inner distortion.We show that finiteness of min{lip_f(x),k_f(x)},for every x∈Ω\E,implies that f~(-1)∈W~(1,n)and has finite distortion,provided that the exceptional set E hasσ-finite H~1-measure.Moreover,f has finite distortion,differentiable a.e.and the Jacobian J_f0 a.e.     

本刊英文版Vol.26(2010),No.12论文摘要(英文)

<正>Distances between Elements of a Semigroup and Estimates for Derivatives Zohra BENDOUAD Isabelle CHALENDAR Jean ESTERLE Jonathan R.PARTINGTON Abstract This paper is concerned first with the behaviour of differences T(t) - T(s) near the origin,where(T(t)) is a semigroup of operators on a Banach space,defined either on the positive real line or a sector in the right half-plane(in which case it is assumed analytic).For the non-quasinilpotent case extensions of results in the published literature are provided,with best possible constants;in the case of quasinilpotent semigroups on the half-plane,it is shown     

本刊英文版Vol.36(2020),No.12论文摘要(英文)

Finitely Generated Nilpotent Groups of Infinite Cyclic Commutator Subgroups Jun LIAO He Guo LIU Xing Zhong XU Ji Ping ZHANG Abstract The aim of this paper is to determine the structure and to establish the isomorphic invariant of the finitely generated nilpotent group G of infinite cyclic commutator subgroup.     

本刊英文版Vol.29(2013),No.9&10论文摘要

<正>An Equivalent Condition for the Self Similar Sets on the Real Line to Have Best Coverings Jian Dong YIN Zuo Ling ZHOU Abstract In this paper,an equivalent condition for the self similar sets on the real line to     

本刊英文版Vol.27(2011),No.12论文摘要

<正>Abstract In the "lost notebook",Ramanujan recorded infinite product expansions for 1/r~(1/2)-((1-5~(1/2))/2)r~(1/2) and 1/r~(1/2)-((1+5~(1/2))/2)r~(1/2), where r = r(q) is the Rogers-Ramanujan continued fraction.We shall give analogues of these results that involve Ramanujan's function k = k(q) = r(q)r~2(q~2).     

本刊英文版Vol.28(2012),No.12论文摘要

<正>Nordhaus-Gaddum Results for the Sum of the Induced Path Number of a Graph and Its Complement Johannes H.HATTINGH Lucas C.VAN DER MERWE Ossama A.SALEH Terry J.WALTERS     

本刊英文版Vol.25(2009),No.12论文摘要

<正>Pfaffians and Representations of the Symmetric Group Alain LASCOUX Pfaffians of matrices with entries z[i,j]/(x_i+x_j),or determinants of matrices with entries z[i,j]/(x_i-x_j),where the antisymmetrical indeterminates z[i,j]satisfy the Pl_(u|¨)cker relations,can be identified with a trace in an irreducible representation of a product of two     

本刊英文版Vol.35(2019),No.12论文摘要（英文）

Asymptotic and Partial Asymptotic Hankel Operators on H^2(D^n)Anuradha GUPTA Bhawna GUPTA Abstract In this paper,we generalize the concept of asymptotic Hankel operators on H^2(D)to the Hardy space H^2(D^n)(over polydisk)in terms of asymptotic Hankel and partial asymptotic Hankel operators and investigate some properties in case of its weak and strong convergence.     

本刊英文版Vol.33(2017),No.12论文摘要（英文）

正Rees-Shishikura's Theorem for Geometrically Finite Rational Maps Wen Qiang SHEN Abstract In this paper,we generalize Rees-Shishikura's theorem to the class of geometrically finite rational maps.On Meromorphic Solutions of a Certain Type of Nonlinear Differential Equations Xiao Qing LU Liang Wen LIAO Jun WANG Abstract We consider transcendental meromorphic solutions with N(r,f)=S(r,f)of the following type of nonlinear differential equations:f~n+P_(n-2)(f)=p_1(z)e~(α_1(z)+p_2(z)e~     

本刊英文版Vol.37(2021),No.12论文摘要（英文）

<正>Empirical Likelihood of Quantile Difference with Missing Response When High-dimensional Covariates Are Present Cui Juan KONG Han Ying LIANG Abstract We,in this paper,investigate two-sample quantile difference by empirical likelihood method when the responses with high-dimensional covariates of the two populations are missing at random.In particular,based on sufficient dimension reduction technique,we construct three empirical log-likelihood ratios for the quantile difference between two samples by using inverse probability weighting imputation,regression imputation as well as augmented inverse probability weighting imputation,respectively,and prove their asymptotic distributions.     

本刊英文版Vol.34(2018),No.12论文摘要（英文）

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本刊英文版Vol.32(2016),No.12论文摘要（英文）

正A Homomorphism between Circuit Cobordism Groups and Pseudohomology Groups over Configuration Space B Shao Feng WANGAbstract We develop a new method to perturb singular circuits in configuration space B with trivial isotropy groups,and construct a homomorphismφ_*between its circuit cobordism groups and pseudohomology groups.This work can be viewed as a counterpart to Zinger's construction.The Intersection Numbers of Nearly Kirkman Triple Systems     

本刊英文版Vol.28(2012),No.3论文摘要(英文)

<正>Closed 3-stop Center and Periphery in Graphs Linda EROH Ralucca GERA Steven J.WINTERS A delivery person must leave the central location of the business,deliver packages at a number of addresses,and then return.Naturally,he/she wishes to reduce costs by finding the most efficient route.This motivates the following: Given a set of k distinct vertices S = {x_1,x_2,…,x_k} in a simple graph G,the closed k-stop-distance of set S is defined to be