top
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.
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 -