Some results on function spaces of varying smoothness

• Autorzy: Jan Schneider
• Języki publikacji: EN

Abstrakty

EN

This paper deals with function spaces of varying smoothness $B^{𝕊,s₀}_p(ℝⁿ)$, where the function 𝕊:x ↦ s(x) determines the smoothness pointwise. Those spaces were defined in [2] and treated also in [3]. Here we prove results about interpolation, trace properties and present a characterization of these spaces based on differences.

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: Banach Center Publications
• Rocznik: 2008
• Tom: 79
• Numer: 1
• Strony: 187-195

Daty

wydano

2008

Twórcy

autor

Jan Schneider

• Max-Planck-Institute for Mathematics in the Science, Inselstrasse 22, 04103 Leipzig, Germany

Identyfikatory

DOI

10.4064/bc79-0-15