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Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk
composition operator hardy semigroup
2015/1/19
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as cert...
Commutants of composition operators on the Hardy space of the disk
Composition operator Commutant Hardy space
2015/1/19
The main part of this thesis, Chapter 4, contains results on the commutant of a semigroup of operators defined on the Hardy Space of the disk where the operators have hyperbolic non-automorphic symbol...
Estimates for approximation numbers of some classes of composition operators on the Hardy space
approximation numbers Blaschke product composition operator cusp map Hardy space modulus of continuity Schatten classes
2012/6/21
We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get that these approxim...
Quaternary Constant-Composition Codes with Weight Four and Distances Five or Six
Quaternary Constant-Composition Codes Weight Four Distances Five or Six
2012/3/1
The sizes of optimal constant-composition codes of weight three have been determined by Chee, Ge and Ling with four cases in doubt. Group divisible codes played an important role in their construction...
Abstract composition laws and their modulation spaces
Pseudodifferential operator Moyal algebra Weyl product modulation mapping modulation space
2011/9/13
Abstract: On classes of functions de?ned on R^2n we introduce abstract composition laws modelled after the pseudodifferential product of symbols. We attach to these composition laws modulation mapping...
On the regularity of the composition of diffeomorphisms
composition diffeomorphisms Analysis of PDEs
2011/8/24
Abstract: For $M$ being a closed manifold or the Euclidean space we present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s > 1/2\dim M + 1$...
Supporting Information for the Paper: Optimal Ternary Constant-Composition Codes of Weight Four and Distance Five, IEEE Trans. Inform. Theory, To Appear
Supporting Information for the Paper Optimal Ternary Constant-Composition Codes of Weight Four Distance Five
2011/1/17
Weighted composition operators on weighted vector-valued Bergman spaces
weighted composition operator vector-valued Bergman spaces
2010/9/26
In this paper we first introduce weighted vector-valued Bergman spaces ,
Λ of the upper half-plane. We then discuss their basic propertie...
Weighted composition operators between weighted Bergman-Nevanlinna and Bloch-type spaces
weighted composition operator Bloch-type spaces
2010/9/26
In this paper, we characterize the boundedness and compactness of weighted composition operators , ...
The essential norm of a composition operator on Orlicz spaces
Orlicz spaces composition operator compact operators essential norm
2010/12/21
In this note we determine the lower and upper estimates for the essential norm of a composition operator on the Orlicz spaces under certain conditions.
Convergence of Infinite Composition of Entire Functions
Infinite Composition Entire Functions
2010/12/6
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions be-comes an entire function. Moreover, as an example of such functio...
Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra
Gr¨obner-Shirshov basis non-associative algebra commutative algebra
2010/11/26
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbi...
Composition Functionals in Fractional Calculus of Variations
Fractional calculus of variations Composition of functionals Fractional Euler–Lagrange equations
2010/12/6
We prove Euler–Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses th...
A solution is proposed for the problem of composition of ordinary generating functions.A new class of functions that provides a composition of ordinary generating functions is introduced; main theorem...
Composition and $L^2$-boundedness of flag kernels
Singular integrals flag kernels symbolic calculus homogeneous groups Fourier transform
2010/12/8
We prove the composition and L2-boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.