Concepedia

Semigroups of composition operators in Bergman spaces

Aristomenis G. Siskakis

Bulletin of the Australian Mathematical Society · 1987 · 53 citations · 6 references

DOIFull text

Open access

Concepts

Abstract

Semigroups consisting of composition operators are considered on weighted Bergman spaces. They are strongly continuous, and their infinitesimal generators are identified. One specific semigroup is used to obtain information on an averaging operator.

References

6

Semigroups of analytic functions and composition operators.

Earl Berkson, Horaçio Porta · The Michigan Mathematical Journal · 1978 · 236 citations · Full text

, , +9

Iteration and the solution of functional equations for functions analytic in the unit disk

Carl C. Cowen · Transactions of the American Mathematical Society · 1981 · 174 citations · Full text

, , +11

Composition Semigroups and the Cesàro Operator On<i>H</i> <sup> <i>p</i> </sup>

Aristomenis G. Siskakis · Journal of the London Mathematical Society · 1987 · 150 citations

, , +4

Subordinate Hp functions

John V. Ryff · Duke Mathematical Journal · 1966 · 107 citations

An averaging operator on the Dirichlet space

H. C. Rhaly · Journal of Mathematical Analysis and Applications · 1984 · 30 citations

, , +5