Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces

• Autorzy: Dorothee D. Haroske
• Języki publikacji: EN

Abstrakty

EN

We study continuity envelopes of function spaces $B^s_{p,q}(ℝⁿ,w)$ and $F^s_{p,q}(ℝⁿ,w)$ where the weight belongs to the Muckenhoupt class 𝓐₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 47B06: Riesz operators; eigenvalue distributions; approximation numbers, s -numbers, Kolmogorov numbers, entropy numbers, etc. of operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 92
• Numer: 1
• Strony: 107-129

Daty

wydano

2011

Twórcy

autor

Dorothee D. Haroske

• Mathematical Institute, Friedrich-Schiller-University Jena, D-07737 Jena, Germany

Identyfikatory

DOI

10.4064/bc92-0-8