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 and for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm8447-4-2016,
author = {Michael Langenbruch},
title = {On the diametral dimension of weighted spaces of analytic germs},
journal = {Studia Mathematica},
volume = {233},
year = {2016},
pages = {85-100},
zbl = {06586869},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8447-4-2016}
}
Michael Langenbruch. On the diametral dimension of weighted spaces of analytic germs. Studia Mathematica, Tome 233 (2016) pp. 85-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8447-4-2016/