Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line

Gasmi, A., Sifi, M., and Soltani, F.. "Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line." Fractional Calculus and Applied Analysis 9.3 (2006): 287-306. <http://eudml.org/doc/11280>.

@article{Gasmi2006,
abstract = {2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.* The authors are supported by the DGRST research project 04/UR/15-02.},
author = {Gasmi, A., Sifi, M., Soltani, F.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {46F12; 44A15; 44A35},
language = {eng},
number = {3},
pages = {287-306},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line},
url = {http://eudml.org/doc/11280},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Gasmi, A.
AU - Sifi, M.
AU - Soltani, F.
TI - Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 3
SP - 287
EP - 306
AB - 2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.* The authors are supported by the DGRST research project 04/UR/15-02.
LA - eng
KW - 46F12; 44A15; 44A35
UR - http://eudml.org/doc/11280
ER -