Results 11 to 20 of about 160 (57)
The H∞‐optimization in locally convex spaces
International Journal of Stochastic Analysis, Volume 15, Issue 2, Page 91-103, 2002., 2002 In this paper, the ordinary H∞‐control theory is extended to locally convex spaces through the form of a parameter. The algorithms of computing the infimal model‐matching error and the infimal controller are presented in a locally convex space. Two examples with the form of a parameter are enumerated for computing the infimal model‐matching error and ...
Chuan-Gan Hu, Li-Xin Ma
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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 441-447, 1992., 1992 Let , a0 ≠ 0 be analytic in the unit disc. Any infinite complex vector θ = (θ0, θ1, θ2, …) such that |θk| = 1, k = 0, 1, 2, …, induces a function which is still analytic in the unit disc. In this paper we study the problem of maximizing the p‐means: over all possible vectors θ and for values of r close to 0 and for all p < 2.
Ronen Peretz
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On the dual space of a weighted Bergman space on the unit ball of Cn
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 457-464, 1988., 1987 The weighted Bergman space , of the holomorphic functions on the unit ball Bn of Cn forms an F‐space. We find the dual space of by determining its Mackey topology.
J. S. Choa, H. O. Kim
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On a generalization of the corona problem
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 785-789, 1986., 1986 Let g, f1, …, fm ∈ H∞(Δ). We provide conditions on f1, …, fm in order that |g(z)| ≤ |f1(z)| + …+|fm(z)|, for all z in Δ, imply that g, or g2, belong to the ideal generated by f1, …, fm in H∞.
Graziano Gentili, Daniele C. Struppa
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 477-482, 1985., 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu‐Ahlfors characteristic function. There are some natural parallels between UBC(R) and BMOA(R), the family of holomorphic functions of bounded mean oscillation in R.
Shinji Yamashita
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On the Hardy‐Littlewood maximal theorem
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 715-720, 1982., 1982 The Hardy‐Littlewood maximal theorem is extended to functions of class PL in the sense of E. F. Beckenbach and T. Radó, with a more precise expression of the absolute constant in the inequality. As applications we deduce some results on hyperbolic Hardy classes in terms of the non‐Euclidean hyperbolic distance in the unit disk.
Shinji Yamashita
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Maximum of the resolvent over matrices with given spectrum
, 2015 In numerical analysis it is often necessary to estimate the condition number $CN(T)=||T||_{} \cdot||T^{-1}||_{}$ and the norm of the resolvent $||(\zeta-T)^{-1}||_{}$ of a given $n\times n$ matrix $T$.
Szehr, Oleg, Zarouf, Rachid
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Weighted multiple interpolation and the control of perturbed semigroup systems
, 2012 In this paper the controllabillity and admissibility of perturbed semigroup systems are studied, using tools from the theory of interpolation and Carleson measures.
Jacob, Birgit +2 more
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Hardy spaces and unbounded quasidisks
, 2010 We study the maximal number $0\le h\le+\infty$ for a given plane domain $\Omega$ such that $f\in H^p$ whenever ...
Kim, Yong Chan, Sugawa, Toshiyuki
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Analytic projections, Corona Problem and geometry of holomorphic vector bundles
, 2007 The main result of the paper is the theorem giving a sufficient condition for the existence of a bounded analytic projection onto a holomorphic family of (generally infinite-dimensional) subspaces (a holomorphic sub-bundle of a trivial bundle).
Treil, Sergei, Wick, Brett
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