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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...
Strongly Singular Integral Operators On Weighted Hardy Space
Strongly singular Calder\'{o}n--Zygmund operatorsStrongly singular Calder\'{o}n--Zygmund operators Hardy spaces $A_p$ weight
2007/12/12
In this paper, we obtain that a strongly singular integral operator is bounded on $L^p_w$ space for $1 also obtain that a strongly singular integral operator is a bounded operator from $...