KaydedilenlerDerginizi ekleyin

Dergiler / Communications in Advanced Mathematical Sciences / 2023 / Cilt: 6 Sayı: 3

Ces\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane

Effie OYUGİ
Job BONYO
David AMBOGO
Sayfa
128–134
Yayın Tarihi
2023-09-17
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We then determine the spectral and norm properties of the obtained Ces\`{a}ro-type operator.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces.
📊
Temel Bulgular & Veri:We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces.
💡
Sonuç & Katkı:We then determine the spectral and norm properties of the obtained Ces\`{a}ro-type operator.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ces\`{a}ro-type operator · Generator · One-parameter semigroup

Abstract

We construct a Ces\`{a}ro-type operator acting on Dirichlet space of the upper half plane using the approach of strongly continuous semigroups of composition operators on Banach spaces. We then determine the spectral and norm properties of the obtained Ces\`{a}ro-type operator.

🔖

Bu Makaleye Atıf Yap

OYUGİ, E., BONYO, J., AMBOGO, D. (2023). Ces\`{a}ro-Type Operator on the Dirichlet Space of the Upper Half Plane. Communications in Advanced Mathematical Sciences, Cilt: 6 Sayı: 3, 128–134. https://ajindex.com/articles/962115

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. K. Zhu, Operator Theory in function spaces, Mathematical Surveys and Monographs, 138, American Mathematical Society, Providence, (2007)
  2. O. El-Fallah, K. Kellay, J. Mashreghi, T. Ransford, A primer on the Dirichlet Space, Cambridge University Press, New York, 203, (2014)
  3. M. M. Peloso, Classical Spaces of Holomorphic Functions Technical report, Universit di Milano, (2014)
  4. J. M. Wanjiru, J. O. Bonyo, I. S. Wattanga, Reproducing Kernel for the Classical Dirichlet Space of the Upper Half Plane, IJFSCFRT, 15, (2022), 150-161
  5. K. Engel, R. Nagel, A Short Course on Operator Semigroups, Universitext, Springer, New York, 37, (2006)
  6. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, 44, Springer-Verlag, New York, 1970
  7. A. G. Siskakis, Semigroups of composition operators on the spaces of analytic functions, a review, Contemp. Math., 213, (1998), 229-252
  8. R. K. Singh, J. S. Manhas, Composition operators on functional spaces. Elsevier Science Publishers, Amsterdam, 179, 1993. s3-10(1), (1960), 376-394
  9. A. G. Siskakis, Semigroups of composition operators on Dirichlet spaces, Results Math., 30, (1996), 165-173
  10. A. G. Arvanitidis, A. G. Siskasis, Ces`aro Operators on the Hardy spaces of the half-plane, Canad. Math. Bull., 56(2), (2013), 229-240
  11. S. Ballamoole, J. O. Bonyo, T. L. Miller, V. G. Miller, Ces`aro Operators on the Hardy and Bergman spaces of the half-plane, Complex Anal. Oper. Theory, 10, (2016), 187-203
  12. M. O. Agwang, J. O. Bonyo, Spectra of composition groups on the weighted Dirichlet space of the upper half plane, Acta Math. Sci., 40B(6), (2020), 1739-1752.