In [O. Dragičević, A. Volberg, Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms, Michigan Math. J. 51 (2) (2003) 415-435] the Ahlfors-Beurling operator T was represented as an average of two-dimensional martingale transforms. The same result can be proven for power
Some remarks on theLpestimates for powers of the Ahlfors–Beurling operator
✍ Scribed by Oliver Dragičević
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 199 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
One of the key issues in the theory of ordered-weighted averaging (OWA) operators is the determination of their associated weights. To this end, numerous weighting methods have appeared in the literature, with their main difference occurring in the objective function used to determine the weights. A
We consider the linearized operators, denoted L d; 1 , of the Ginzburg-Landau operator u + u(1 -|u| 2 ) in R 2 , about the radial solutions u d; 1 (x) = f d (r)e id , for all d ¿ 1. We state the correspondence between the real vector space of the bounded solutions of the equation L d; 1 w=0 and the