On the closure of the Lizorkin space in spaces of Beppo Levi type

Takahide Kurokawa. "On the closure of the Lizorkin space in spaces of Beppo Levi type." Studia Mathematica 150.2 (2002): 99-120. <http://eudml.org/doc/284503>.

@article{TakahideKurokawa2002,
abstract = {The purpose of this paper is to give a characterization of the closure of the Lizorkin space in spaces of Beppo Levi type. As preparations for the proof, we establish the invariance of the Lizorkin space, and give local integral representations for smooth functions.},
author = {Takahide Kurokawa},
journal = {Studia Mathematica},
keywords = {Lizorkin space; Beppo Levi spaces; Riesz potential operator; Schwartzian functions orthogonal to polynomials; Sobolev type},
language = {eng},
number = {2},
pages = {99-120},
title = {On the closure of the Lizorkin space in spaces of Beppo Levi type},
url = {http://eudml.org/doc/284503},
volume = {150},
year = {2002},
}

TY - JOUR
AU - Takahide Kurokawa
TI - On the closure of the Lizorkin space in spaces of Beppo Levi type
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 2
SP - 99
EP - 120
AB - The purpose of this paper is to give a characterization of the closure of the Lizorkin space in spaces of Beppo Levi type. As preparations for the proof, we establish the invariance of the Lizorkin space, and give local integral representations for smooth functions.
LA - eng
KW - Lizorkin space; Beppo Levi spaces; Riesz potential operator; Schwartzian functions orthogonal to polynomials; Sobolev type
UR - http://eudml.org/doc/284503
ER -