Crescents and the Real Variable Cesàro Operator

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Belli A., GÜL U., Ross W. T., Siskakis A. G.

Integral Equations and Operator Theory, cilt.98, sa.4, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s00020-026-02865-7
  • Dergi Adı: Integral Equations and Operator Theory
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Anahtar Kelimeler: Cesàro operator, Crescent domains, Invariant subspaces, Lp(0,1), Semigroups, Spectral properties
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This paper explores a version of the classical Cesàro integral operator for the Lebesgue space Lp(0,1) where we discuss its norm, spectral properties, cyclicity, and invariant subspaces. The spectrum of the Cesàro operator will be a crescent domain whose geometry depends on p. An important tool will be semigroups of weighted composition operators on Lp(0,1).