On the diametral dimension of weighted spaces of analytic germs

• Autorzy: Michael Langenbruch
• Języki publikacji: EN

Abstrakty

EN

We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near ℝ. This implies a full isomorphic classification for these spaces including the Gelfand-Shilov spaces $S¹_{α}$ and $S₁^{α}$ for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.

Kategorie tematyczne

• 30H50: Algebras of analytic functions
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F15: Hyperfunctions, analytic functionals
• 46A63: Topological invariants ((DN), ( Ω ), etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 233
• Numer: 1
• Strony: 85-100

Daty

wydano

2016

Twórcy

autor

Michael Langenbruch

• Institute of Mathematics, University of Oldenburg, D-26111 Oldenburg, Germany

Identyfikatory

DOI

10.4064/sm8447-4-2016