Geodesic
On the diametral dimension of weighted spaces of analytic germs
Michael Langenbruch1
1 Institute of Mathematics University of Oldenburg D-26111 Oldenburg, Germany
Studia Mathematica, Tome 233 (2016) no. 1, pp. 85-100

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near $\mathbb {R}$. This implies a full isomorphic classification for these spaces including the Gelfand–Shilov spaces $S^1_{\alpha }$ and $S_1^{\alpha }$ for $\alpha \gt 0$. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
DOI : 10.4064/sm8447-4-2016
Keywords: prove precise estimates diametral dimension certain weighted spaces germs holomorphic functions defined strips near mathbb implies full isomorphic classification these spaces including gelfand shilov spaces alpha alpha alpha moreover classical spaces fourier hyperfunctions modified fourier hyperfunctions isomorphic

Michael Langenbruch 1

1 Institute of Mathematics University of Oldenburg D-26111 Oldenburg, Germany 
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Michael Langenbruch. On the diametral dimension of weighted spaces of analytic germs. Studia Mathematica, Tome 233 (2016) no. 1, pp. 85-100. doi: 10.4064/sm8447-4-2016

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