Some remarks on level functions and their applications

Paweł Foralewski, Karol Leśnik, and Lech Maligranda. "Some remarks on level functions and their applications." Commentationes Mathematicae 56.1 (2016): null. <http://eudml.org/doc/292464>.

@article{PawełForalewski2016,
abstract = {A comparison of the level functions considered by Halperin and Sinnamon is discussed. Moreover, connections between Lorentz-type spaces, down spaces, Cesàro spaces, and Sawyer's duality formula are explained. Applying Sinnamon's ideas, we prove the duality theorem for Orlicz−Lorentz spaces which generalizes a recent result by Kamińska, Leśnik, and Raynaud (and Nakamura). Finally, some applications of the level functions to the geometry of Orlicz−Lorentz spaces are presented.},
author = {Paweł Foralewski, Karol Leśnik, Lech Maligranda},
journal = {Commentationes Mathematicae},
keywords = {level functions, dual spaces, Orlicz−Lorentz spaces, Halperin spaces, Cesàro spaces},
language = {eng},
number = {1},
pages = {null},
title = {Some remarks on level functions and their applications},
url = {http://eudml.org/doc/292464},
volume = {56},
year = {2016},
}

TY - JOUR
AU - Paweł Foralewski
AU - Karol Leśnik
AU - Lech Maligranda
TI - Some remarks on level functions and their applications
JO - Commentationes Mathematicae
PY - 2016
VL - 56
IS - 1
SP - null
AB - A comparison of the level functions considered by Halperin and Sinnamon is discussed. Moreover, connections between Lorentz-type spaces, down spaces, Cesàro spaces, and Sawyer's duality formula are explained. Applying Sinnamon's ideas, we prove the duality theorem for Orlicz−Lorentz spaces which generalizes a recent result by Kamińska, Leśnik, and Raynaud (and Nakamura). Finally, some applications of the level functions to the geometry of Orlicz−Lorentz spaces are presented.
LA - eng
KW - level functions, dual spaces, Orlicz−Lorentz spaces, Halperin spaces, Cesàro spaces
UR - http://eudml.org/doc/292464
ER -