top
An exact expression for the down norm is given in terms of the level function on all rearrangement invariant spaces and a useful approximate expression is given for the down norm on all rearrangement invariant spaces whose upper Boyd index is not one.
Sinnamon, Gord. "The level function in rearrangement invariant spaces.." Publicacions Matemàtiques 45.1 (2001): 175-198. <http://eudml.org/doc/41424>.
@article{Sinnamon2001, abstract = {An exact expression for the down norm is given in terms of the level function on all rearrangement invariant spaces and a useful approximate expression is given for the down norm on all rearrangement invariant spaces whose upper Boyd index is not one.}, author = {Sinnamon, Gord}, journal = {Publicacions Matemàtiques}, keywords = {Funciones medibles; Espacios de funciones; Espacio de Orlicz; level function; rearrangement invariant space; duality; down norm; Banach function space}, language = {eng}, number = {1}, pages = {175-198}, title = {The level function in rearrangement invariant spaces.}, url = {http://eudml.org/doc/41424}, volume = {45}, year = {2001}, }
TY - JOUR AU - Sinnamon, Gord TI - The level function in rearrangement invariant spaces. JO - Publicacions Matemàtiques PY - 2001 VL - 45 IS - 1 SP - 175 EP - 198 AB - An exact expression for the down norm is given in terms of the level function on all rearrangement invariant spaces and a useful approximate expression is given for the down norm on all rearrangement invariant spaces whose upper Boyd index is not one. LA - eng KW - Funciones medibles; Espacios de funciones; Espacio de Orlicz; level function; rearrangement invariant space; duality; down norm; Banach function space UR - http://eudml.org/doc/41424 ER -