Gagliardo-Nirenberg inequalities in weighted Orlicz spaces

@article{AgnieszkaKałamajska2006,
abstract = {We derive inequalities of Gagliardo-Nirenberg type in weighted Orlicz spaces on ℝⁿ, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt-Bloom-Kerman-type theorems for maximal functions.},
author = {Agnieszka Kałamajska, Katarzyna Pietruska-Pałuba},
journal = {Studia Mathematica},
keywords = {Gagliardo-Nirenberg inequalities; Orlicz spaces; maximal functions},
language = {eng},
number = {1},
pages = {49-71},
title = {Gagliardo-Nirenberg inequalities in weighted Orlicz spaces},
url = {http://eudml.org/doc/284700},
volume = {173},
year = {2006},
}

TY - JOUR
AU - Agnieszka Kałamajska
AU - Katarzyna Pietruska-Pałuba
TI - Gagliardo-Nirenberg inequalities in weighted Orlicz spaces
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 1
SP - 49
EP - 71
AB - We derive inequalities of Gagliardo-Nirenberg type in weighted Orlicz spaces on ℝⁿ, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt-Bloom-Kerman-type theorems for maximal functions.
LA - eng
KW - Gagliardo-Nirenberg inequalities; Orlicz spaces; maximal functions
UR - http://eudml.org/doc/284700
ER -