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Current Issue   2008 24 (3)  Mar. 15, 2008       3       3     353 Byung Do KIM   On Hyers-Ulam-Rassias Stability of Functional Equations     In this paper, we investigate the stability of functional equation given by the pseudo-additive mappings of the mixed quadratic and Pexider type in the spirit of Hyers, Ulam, Rassias and G\v{a}vruta....      24 (3): 353-372 [Abstract ] ( 48 ) [HTML 0KB] [PDF 263KB ]( 123 ) 373 Zun Wei FU, Yan LIN and Shan Zhen LU   $\lambda$-Central $BMO$ Estimates for Commutators of Singular Integral Operators with Rough Kernels     The authors establish $\lambda$-central $BMO$ estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multi-sublinear operators on the product of central Morrey spaces i...      24 (3): 373-386 [Abstract ] ( 50 ) [HTML 0KB] [PDF 286KB ]( 108 ) 387 Tao XIE   Hall Polynomials for Affine Quivers of Type $\widetilde{A}_m(m\geq 1)$     It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the task of computing Hall polynomials fo...      24 (3): 387-396 [Abstract ] ( 41 ) [HTML 0KB] [PDF 255KB ]( 75 ) 397 Edoardo BALLICO and Changho KEEM   A Remark on Weierstrass Points and Linear Series on Multiple Covering Curves     Here we study multiple coverings of rational and irational curves. We give a theorem about the non-gap sequence on $m$-gonal curves. We then study general irrational covering $f: X \to C$, and say when $h^0(X,f^\ast (L)) = h^0(C,L)$ for $L$ line bundle on...      24 (3): 397-404 [Abstract ] ( 35 ) [HTML 0KB] [PDF 236KB ]( 75 ) 405 Chang Qun WANG and Tie Sheng CHEN   Semisymmetric Cubic Graphs as Regular Covers of $K_{3,3}$     A regular graph $X$ is called {\em semisymmetric} if it is edge-transitive but not vertex-transitive. For $G\leq {\rm Aut} X$, we call a $G$-cover $X$ semisymmetric if $X$ is semisymmetric, and call a $G$-cover $X$ one-regular if ${\rm Aut}\,X$ acts regul...      24 (3): 405-416 [Abstract ] ( 39 ) [HTML 0KB] [PDF 271KB ]( 68 ) 417 Bo Han FANG, Xiao Jiang TAN and Wei Yi ZHANG   Some Results on Special Stable Vector Bundles ofRank 3 on Algebraic Curves     The authors discuss the existence and classification of stable vector bundles of rank 3, with 3 or 4 linearly independent holomorphic sections. The sets of all such bundles are denoted by $\omega^2_{3,d}$ and $\omega^3_{3,d},$ respectively. Our argument l...      24 (3): 417-430 [Abstract ] ( 39 ) [HTML 0KB] [PDF 285KB ]( 65 ) 431 Y AKDIME, E AZROUL and M RHOUDAF   Existence of T-solution for Degenerated Problem via Minty's Lemma     We study the existence result of solutions for the nonlinear degenerated elliptic problem of the form, $ -{\mbox{div}}(a(x,u,\nabla u)) = F\ {\mbox{in}}\Omega, $ where $\Omega$ is a bounded domain of $\RR^N, N \geq 2,$ $ a:\Omega\times\RR\times\RR^N\right...      24 (3): 431-438 [Abstract ] ( 36 ) [HTML 0KB] [PDF 226KB ]( 63 ) 439 M LASHKARIZADEH BAMI   Fourier Transforms of Bounded Bilinear Forms on $C^*(S_1)\times C^*(S_2)$ of Foundation $*$-semigroups $S_1$ and $S_2$     The author gives a characterization of the Fourier transforms of bounded bilinear forms on $C^*(S_1)\times C^*(S_2)$ of two foundation semigroups $S_1$ and $S_2$ in terms of Jordan $*$-representations, hemimogeneous random fields, and as well as weakly ha...      24 (3): 439-454 [Abstract ] ( 34 ) [HTML 0KB] [PDF 303KB ]( 68 ) 455 Qi Ming YAN and Zhi Hua CHEN   Weak Cartan-type Second Main Theorem for Holomorphic Curves     In this paper, a weak Cartan-type second theorem for holomorphic curve $f:C\ra P^n(C)$ intersecting hypersurfaces $D_j, 1\le j\le q$, in $P^n(C)$ in general position with degree $d_j$ is given as follows: For every $\varepsilon>0$, there exists a posit...      24 (3): 455-462 [Abstract ] ( 38 ) [HTML 0KB] [PDF 235KB ]( 70 ) 463 Liu Chuan ZENG, N C WONG and J C YAO   Convergence Analysis of Iterative Sequences for a Pair of Mappings in Banach Spaces     Let $C$ be a nonempty closed convex subset of a real Banach space $E$. Let $S:C\to C$ be a quasi-nonexpansive mapping, let $T:C\to C$ be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let $F:=\{x\in C:Sx=x~{\rm and}~Tx=x\}\neq\e...      24 (3): 463-470 [Abstract ] ( 36 ) [HTML 0KB] [PDF 213KB ]( 79 ) 471 Jin Kun LIN   A Pull Back Theorem in the Adams Spectral Sequence     This paper proves that, for any generator $x\in Ext_A^{s,tq}(Z_p,Z_p)$, if $(1_L\wedge i)_* \phi_*(x)\in Ext_A^{s+1,tq+2q}(H^*L\wedge M,Z_p)$ is a permanent cycle in the Adams spectral sequence (ASS), then $h_0x\in Ext_A^{s+1,tq+q}(Z_p,Z_p)$ also is a per...      24 (3): 471-490 [Abstract ] ( 38 ) [HTML 0KB] [PDF 364KB ]( 63 ) 491 Dong Seung KANG and Hahng-Yun CHU   Stability Problem of Hyers--Ulam--Rassias for Generalized Forms of Cubic Functional Equation     Let $n \geq 2$ be an integer number. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability in Banach spaces and and also Banach modules over a Banach algebra and a $C^*-$algebra, and the stability using the alternative fixed point of ...      24 (3): 491-502 [Abstract ] ( 38 ) [HTML 0KB] [PDF 243KB ]( 79 ) 503 Sheng Zhao HOU and Jie WANG   Ordered Reproducing Hilbert Spaces over ${\mathbbC}^2$     In this paper, we study the relation between the ordered reproducing Hilbert space and its reproducing kernel. A complete description of a similar and unitary equivalence of two quasi-invariant subspaces generated by polynomials with leading terms is give...      24 (3): 503-510 [Abstract ] ( 36 ) [HTML 0KB] [PDF 218KB ]( 73 ) 511 Bing Zheng LI   Estimation of the Misclassification Error for Multicategory Support Vector Machine Classification     The purpose of this paper is to provide an error analysis for the multicategory support vector machine (MSVM) classificaton problems. We establish the uniform convergency approach for MSVMs and estimate the misclassification error. The main difficulty we ...      24 (3): 511-528 [Abstract ] ( 41 ) [HTML 0KB] [PDF 313KB ]( 74 )
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