Wiener amalgam spaces with respect to quasi-Banach spaces

Holger Rauhut. "Wiener amalgam spaces with respect to quasi-Banach spaces." Colloquium Mathematicae 109.2 (2007): 345-362. <http://eudml.org/doc/283523>.

@article{HolgerRauhut2007,
abstract = {We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is new even for the classical Banach space case. To illustrate our theory we discuss in detail an example on the ax+b group.},
author = {Holger Rauhut},
journal = {Colloquium Mathematicae},
keywords = {Wiener amalgam spaces; quasi-Banach spaces; convolution relations; doubling weights},
language = {eng},
number = {2},
pages = {345-362},
title = {Wiener amalgam spaces with respect to quasi-Banach spaces},
url = {http://eudml.org/doc/283523},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Holger Rauhut
TI - Wiener amalgam spaces with respect to quasi-Banach spaces
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 2
SP - 345
EP - 362
AB - We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is new even for the classical Banach space case. To illustrate our theory we discuss in detail an example on the ax+b group.
LA - eng
KW - Wiener amalgam spaces; quasi-Banach spaces; convolution relations; doubling weights
UR - http://eudml.org/doc/283523
ER -