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991.
Following the work in a previous paper, we establish in a setting of harmonic analysis further precise relationships between combinatorial measurements and Orlicz norms. 相似文献
992.
We study the reverse triangle inequalities for suprema of logarithmic potentials on compact sets of the plane. This research is motivated by the inequalities for products of supremum norms of polynomials. We find sharp additive constants in the inequalities for potentials, and give applications of our results to the generalized polynomials.We also obtain sharp inequalities for products of norms of the weighted polynomials , and for sums of potentials with external fields. An important part of our work in the weighted case is a Riesz decomposition for the weighted farthest-point distance function. 相似文献
993.
We solve the existence problem in the renormalized, or viscosity sense, and obtain global pointwise estimates of solutions for quasilinear and Hessian equations with measure coefficients and data, including the following model problems:
994.
Vladimir Bolotnikov 《Journal of Mathematical Analysis and Applications》2009,353(2):642-651
The Nevanlinna-Pick interpolation problem is studied in the class Sκ of meromorphic functions f with κ poles inside the unit disk D and with ‖f‖L∞(T)?1. In the indeterminate case, the parametrization of all solutions is given in terms of a family of linear fractional transformations with disjoint ranges. A necessary and sufficient condition for the problem being determinate is given in terms of the Pick matrix of the problem. The result is then applied to obtain necessary and sufficient conditions for the existence of a meromorphic function with a given pole multiplicity which satisfies Nevanlinna-Pick interpolation conditions and has the minimal possible L∞-norm on the unit circle T. 相似文献
995.
On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball 总被引:1,自引:0,他引:1
Stevo Stevi? 《Journal of Mathematical Analysis and Applications》2009,354(2):426-434
We introduce the following integral-type operator on the space H(B) of all holomorphic functions on the unit ball B⊂Cn
996.
Ihab Al Alam 《Journal of Mathematical Analysis and Applications》2009,358(2):273-280
In this paper, we discuss the problem of compactness for weighted composition operators, defined on a Müntz space . We compute the essential norm of such operators on the Müntz spaces. As a corollary, we obtain the exact values of essential norms of composition and multiplication operators. 相似文献
997.
Stevo Stevi? 《Applied mathematics and computation》2009,211(1):222-233
Motivated by the recent paper [X. Zhu, Products of differentiation composition and multiplication from Bergman type spaces to Bers spaces, Integral Transform. Spec. Funct. 18 (3) (2007) 223-231], we study the boundedness and compactness of the weighted differentiation composition operator , where u is a holomorphic function on the unit disk D, φ is a holomorphic self-map of D and n∈N0, from the mixed-norm space H(p, q, ?), where p,q > 0 and ? is normal, to the weighted-type space or the little weighted-type space . For the case of the weighted Bergman space , p > 1, some bounds for the essential norm of the operator are also given. 相似文献
998.
By using viscosity approximation methods for asymptotically nonexpansive mappings in Banach spaces, some sufficient and necessary conditions for a new type of iterative sequences to converging to a fixed point which is also the unique solution of some variational inequalities are obtained. The results presented in the paper extend and improve some recent results in [C.E. Chidume, Jinlu Li, A. Udomene, Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 138 (2) (2005) 473-480; N. Shahzad, A. Udomene, Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces, Nonlinear Anal. 64 (2006) 558-567; T.C. Lim, H.K. Xu, Fixed point theories for asymptotically nonexpansive mappings, Nonlinear Anal. TMA, 22 (1994) 1345-1355; H.K. Xu, Viscosity approximation methods for nonexpansive mappings, J. Math. Anal. Appl., 298 (2004) 279-291]. 相似文献
999.
C. Alegre 《Acta Mathematica Hungarica》2009,122(4):357-372
If (X, p) and (Y, q) are two asymmetric normed spaces, the set LC(X, Y) of all continuous linear mappings from (X, p) to (Y, q) is not necessarily a linear space, it is a cone. If X and Y are two Banach lattices and p and q are, respectively, their associated asymmetric norms (p(x) = ‖+‖, q(y) = ‖y
+‖), we prove that the positive operators from X to Y are elements of the cone LC(X, Y). We also study the dual space of an asymmetric normed space and finally we give open mapping and closed graph type theorems
in the framework of asymmetric normed spaces. The classical results for normed spaces follow as particular cases.
The author acknowledges the support of the Ministerio de Educación y Ciencia of Spain and FEDER, under grant MTM2006-14925-C02-01
and Generalitat Valenciana under grant GV/2007/198. 相似文献
1000.
B. Sheng 《Acta Mathematica Hungarica》2009,122(4):339-355
The paper is related to the lower and upper estimates of the norm for Mercer kernel matrices. We first give a presentation
of the Lagrange interpolating operators from the view of reproducing kernel space. Then, we modify the Lagrange interpolating
operators to make them bounded in the space of continuous function and be of the de la Vallée Poussin type. The order of approximation
by the reproducing kernel spaces for the continuous functions is thus obtained, from which the lower and upper bounds of the
Rayleigh entropy and the l
2-norm for some general Mercer kernel matrices are provided. As an example, we give the l
2-norm estimate for the Mercer kernel matrix presented by the Jacobi algebraic polynomials. The discussions indicate that the
l
2-norm of the Mercer kernel matrices may be estimated with discrete orthogonal transforms.
Supported by the national NSF (No: 10871226) of P.R. China. 相似文献