Results 1 to 10 of about 41 (41)
H∞ interpolation constrained by Beurling–Sobolev norms
We consider a Nevanlinna–Pick interpolation problem on finite sequences of the unit disc, constrained by Beurling–Sobolev norms. We find sharp asymptotics of the corresponding interpolation quantities, thereby improving the known estimates. On our way we
Baranov Anton, Zarouf Rachid
doaj +1 more source
The H∞‐optimization in locally convex spaces
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
wiley +1 more source
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
wiley +1 more source
On the dual space of a weighted Bergman space on the unit ball of Cn
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
wiley +1 more source
On a generalization of the corona problem
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
wiley +1 more source
Some unsolved problems on meromorphic functions of uniformly bounded characteristic
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
wiley +1 more source
On the Hardy‐Littlewood maximal theorem
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
wiley +1 more source
Asymptotic estimates of the eigenvalues of some integral operators
In this paper, we give asymptotic estimates of the eigenvalues of certain positive Fredholm operators Mathematics Subject Classification: 45C05, 45H05, 45P05, 30D55 ...
Yuksel Soykan
core +1 more source
On a Nonstandard Boundary Value Problem for the Laplace Operator in the Plane [PDF]
[Popivanov Petar; Попиванов Петър]2010 Mathematics Subject Classification: 35J05, 35J65, 35J67 ...
Popivanov, Petar
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AGRO-PHYSIOLOGICAL TRAITS OF THREE MAIZE HYBRIDS AS INFLUENCED BY VARYING PLANT DENSITY
Production potential of maize hybrids is determined through their yield and yield contributing attributes, but sometimes maize hybrids are evaluated on the basis of their agro-physiological traits particularly when they are subjected to different plant ...
H A Bukhsh +6 more
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