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

• Autorzy: Takahide Kurokawa
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 31B99: None of the above, but in this section
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 150
• Numer: 2
• Strony: 99-120

Daty

wydano

2002

Twórcy

autor

Takahide Kurokawa

• Department of Mathematics and Computer Science, Kagoshima University, 890-0065 Kagoshima, Japan

Identyfikatory

DOI

10.4064/sm150-2-1