Atomic decomposition on Hardy-Sobolev spaces

• Autorzy: Yong-Kum Cho , Joonil Kim
• Języki publikacji: EN

Abstrakty

EN

As a natural extension of $L^{p}$ Sobolev spaces, we consider Hardy-Sobolev spaces and establish an atomic decomposition theorem, analogous to the atomic decomposition characterization of Hardy spaces. As an application, we deduce several embedding results for Hardy-Sobolev spaces.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 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: 2006
• Tom: 177
• Numer: 1
• Strony: 25-42

Daty

wydano

2006

Twórcy

autor

Yong-Kum Cho

• Department of Mathematics, College of Natural Science, Chung-Ang University, Seoul 156-756, Korea

autor

Joonil Kim

• Department of Mathematics, College of Natural Science, Chung-Ang University, Seoul 156-756, Korea

Identyfikatory

DOI

10.4064/sm177-1-3