Weighted spaces of harmonic and holomorphic functions: sequence space representations and protective descriptions

DOI10.1017/S0013091500023427zbMath0898.46022OpenAlexW2062540916MaRDI QIDQ4343095

Jari Taskinen, Päiva Mattila, Eero Saksman

Publication date: 3 July 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500023427

zbMATH Keywords

Köthe sequence spacesradial weightsweighted locally convex spacesinductive limits of weighted spaces of harmonic and holomorphic functions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Interpolation of entire functions and projective descriptions ⋮ Weighted \((LB)\)-spaces of holomorphic functions: \(\nu H(G)=\nu_{0}H(G)\) and completeness of \(\nu_{0}H(G)\) ⋮ The density condition and distinguishedness for weighted Fréchet spaces of holomorphic func\-tions ⋮ Projective limits of weighted LB-spaces of holomorphic functions ⋮ Weighted inductive limits of spaces of entire functions

Cites Work

• Unnamed Item
• On bornological \(C\bar V(X)\) spaces
• Distinguished Köthe spaces
• Dual density conditions in (DF)-spaces. I
• A seminorm topology for some (DF)-spaces of entire functions
• A Projective Description of Weighted Inductive Limits
• Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces

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