On the boundedness of the differentiation operator between weighted spaces of holomorphic functions

• Autorzy: Anahit Harutyunyan , Wolfgang Lusky
• Języki publikacji: EN

Abstrakty

EN

We give necessary and sufficient conditions on the weights v and w such that the differentiation operator D: Hv(Ω) → Hw(Ω) between two weighted spaces of holomorphic functions is bounded and onto. Here Ω = ℂ or Ω = 𝔻. In particular we characterize all weights v such that D: Hv(Ω) → Hw(Ω) is bounded and onto where w(r) = v(r)(1-r) if Ω = 𝔻 and w = v if Ω = ℂ. This leads to a new description of normal weights.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 47B38: Operators on function spaces (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 184
• Numer: 3
• Strony: 233-247

Daty

wydano

2008

Twórcy

autor

Anahit Harutyunyan

• Faculty for Informatics and Applied Mathematics, University of Yerevan, Alek Manukian 1, Yerevan 25, Armenia

autor

Wolfgang Lusky

• Institute for Mathematics, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany

Identyfikatory

DOI

10.4064/sm184-3-3