Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 43 (2018) no. 1
Citer cet article
Nenad Teofanov. Wave-front sets in non-quasianalytic setting for Fourier-Lebesgue and modulation spaces. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 43 (2018) no. 1. http://geodesic.mathdoc.fr/item/BASS_2018_43_1_a6/
@article{BASS_2018_43_1_a6,
author = {Nenad Teofanov},
title = {Wave-front sets in non-quasianalytic setting for {Fourier-Lebesgue} and modulation spaces},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {81 - 111},
year = {2018},
volume = {43},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2018_43_1_a6/}
}
TY - JOUR
AU - Nenad Teofanov
TI - Wave-front sets in non-quasianalytic setting for Fourier-Lebesgue and modulation spaces
JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY - 2018
SP - 81
EP - 111
VL - 43
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2018_43_1_a6/
ID - BASS_2018_43_1_a6
ER -
%0 Journal Article
%A Nenad Teofanov
%T Wave-front sets in non-quasianalytic setting for Fourier-Lebesgue and modulation spaces
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2018
%P 81 - 111
%V 43
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2018_43_1_a6/
%F BASS_2018_43_1_a6
We define and study wave-front sets for weighted Fourier-Lebesgue spaces when the weights are moderate with respect to associated functions
for general sequences $\{ M_p\} $ which satisfy Komatsu's conditions $(M.1) - (M.3)'$.
In particular, when $\{ M_p\} $ is the Gevrey sequence $(M_p = p!^s$, $s>1)$ we recover some previously observed results.
Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the invariance property related to the Fourier-Lebesgue type wave-front sets.