Translation induced composition semigroup on the dirichlet space of the half-plane

Q: What type of study is this?

This is a Quantitative Study study.

F. N. Mobagi; J. O. Bonyo; George M Mocheche

doi:10.30538/psrp-oma2025.0171

September 24, 2025Open Journal of Mathematical AnalysisOpen Access

Translation induced composition semigroup on the dirichlet space of the half-plane

View Full Paper

Ask AI

Bookmark

Share

Key Points

The study highlights the construction of a semigroup of composition operators on Dirichlet space.
Determining the semigroup and spectral properties sheds light on their mathematical behavior.
Resolvents of the infinitesimal generator are expressed as integral operators, revealing their structure.
Norms and spectra of these resolvents provide insight into their functional characteristics.

Ask about this paper

Answers are grounded in this paper and cite their sources.

Implication

This study examines spectral properties and the representation of resolvents in a composition semigroup on Dirichlet space.

Abstract

We construct a semigroup of composition operators on a subspace of the Dirichlet space of the upper half-plane. We then determine both the semigroup and spectral properties of the composition semigroup. Finally, we represent the resolvents of the infinitesimal generator as integral operators and obtain their norm and spectra.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Mobagi et al. (2025) studied this question.

synapsesocial.com/papers/68d6c671b1249cec298b1f34 https://doi.org/10.30538/psrp-oma2025.0171

View Full Paper

Ask AI

Bookmark

Share

Translation induced composition semigroup on the dirichlet space of the half-plane

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Translation induced composition semigroup on the dirichlet space of the half-plane

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading