A Note on Variable Exponent Hörmander Spaces

[EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M is bounded in extending a Hormander's result to our context. As a consequence, a number of results on sequence space representations of variable exponent Hormander spaces are given.Partially supported by grants MTM2008-04594 and MTM2011-23164 from the Spanish Ministry of Science and Innovation.Motos Izquierdo, J.; Planells Gilabert, MJ.; Talavera Usano, CF. (2013). A Note on Variable Exponent Hörmander Spaces. Mediterranean Journal of Mathematics. 10(3):1419-1434. doi:10.1007/s00009-013-0268-yS1419143410