Sharp embedding results for spaces of smooth functions with power weights

• Autorzy: Martin Meyries , Mark Veraar
• Języki publikacji: EN

Abstrakty

EN

We consider function spaces of Besov, Triebel-Lizorkin, Bessel-potential and Sobolev type on $ℝ^{d}$, equipped with power weights $w(x) = |x|^{γ}$, γ > -d. We prove two-weight Sobolev embeddings for these spaces. Moreover, we precisely characterize for which parameters the embeddings hold. The proofs are presented in such a way that they also hold for vector-valued functions.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 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: 2012
• Tom: 208
• Numer: 3
• Strony: 257-293

Daty

wydano

2012

Twórcy

autor

Martin Meyries

• Department of Mathematics, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany

autor

Mark Veraar

• Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands

Identyfikatory

DOI

10.4064/sm208-3-5