Orlicz-Morrey spaces and the Hardy-Littlewood maximal function

Eiichi Nakai. "Orlicz-Morrey spaces and the Hardy-Littlewood maximal function." Studia Mathematica 188.3 (2008): 193-221. <http://eudml.org/doc/286443>.

@article{EiichiNakai2008,
abstract = {We prove basic properties of Orlicz-Morrey spaces and give a necessary and sufficient condition for boundedness of the Hardy-Littlewood maximal operator M from one Orlicz-Morrey space to another. For example, if f ∈ L(log L)(ℝⁿ), then Mf is in a (generalized) Morrey space (Example 5.1). As an application of boundedness of M, we prove the boundedness of generalized fractional integral operators, improving earlier results of the author.},
author = {Eiichi Nakai},
journal = {Studia Mathematica},
keywords = {Orlicz space; Morrey space; Hardy-Littlewood maximal function; fractional integral operator},
language = {eng},
number = {3},
pages = {193-221},
title = {Orlicz-Morrey spaces and the Hardy-Littlewood maximal function},
url = {http://eudml.org/doc/286443},
volume = {188},
year = {2008},
}

TY - JOUR
AU - Eiichi Nakai
TI - Orlicz-Morrey spaces and the Hardy-Littlewood maximal function
JO - Studia Mathematica
PY - 2008
VL - 188
IS - 3
SP - 193
EP - 221
AB - We prove basic properties of Orlicz-Morrey spaces and give a necessary and sufficient condition for boundedness of the Hardy-Littlewood maximal operator M from one Orlicz-Morrey space to another. For example, if f ∈ L(log L)(ℝⁿ), then Mf is in a (generalized) Morrey space (Example 5.1). As an application of boundedness of M, we prove the boundedness of generalized fractional integral operators, improving earlier results of the author.
LA - eng
KW - Orlicz space; Morrey space; Hardy-Littlewood maximal function; fractional integral operator
UR - http://eudml.org/doc/286443
ER -