## dedicated to professor bruno pini on his 80th birthday We give a condition which ensures that if one inequality of Sobolev Poincare type is valid then other stronger inequalities of a similar type also hold, including weighted versions. Our main result includes many previously known results as
New function spaces of BMO type, the John-Nirenberg inequality, interpolation, and applications
β Scribed by Xuan Thinh Duong; Lixin Yan
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 329 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
Phenolic lignin-based network polymers with structure-variable function have been designed, and a reaction process has been developed for synthesizing them directly from native lignins. The process includes a phase-separation reaction system composed of phenol derivatives and concentrated acid. The