𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Univalent Interpolation in Besov Spaces and Superposition into Bergman Spaces

✍ Scribed by Stephen M. Buckley; Dragan Vukotić

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
422 KB
Volume
29
Category
Article
ISSN
0926-2601

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Towards sharp superposition theorems in
Towards sharp superposition theorems in Besov and Lizorkin–Triebel spaces
✍ Gérard Bourdaud; Madani Moussai; Winfried Sickel 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 517 KB

This paper is devoted to the study of the superposition operator T f (g) := f • g in the framework of Lizorkin-Triebel spaces F s p,q (R) and Besov spaces B s p,q (R). For the case s > 1+(1/ p), 1 < p < ∞, 1 ≤ q ≤ ∞, it is natural to conjecture the following: the operator T f takes F s p,q (R) to it

Interpolation inequality of logarithmic
Interpolation inequality of logarithmic type in abstract Besov spaces and an application to semilinear evolution equations
✍ Toshitaka Matsumoto; Takayoshi Ogawa 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 193 KB

## Abstract An abstract version of Besov spaces is introduced by using the resolvent of nonnegative operators. Interpolation inequalities with respect to abstract Besov spaces and generalized Lorentz spaces are obtained. These inequalities provide a generalization of Sobolev inequalities of logarit