Autor:	J. M. Enriquez-Salamanca, M.J. González
Rok vydání:	2014
Předmět:	Carleson measure Quasiconformal mapping Plane (geometry) Applied Mathematics Mathematical analysis Upper half-plane Quasicircle Space (mathematics) Analysis Cauchy's integral formula Complement (set theory) Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 416:335-343
ISSN:	0022-247X
Popis:	Let ρ be a quasiconformal mapping on the plane with complex dilatation μ. We show that if μ satisfies a certain Carleson measure condition, then one can transfer H ∞ on the upper half plane onto the corresponding space in the complement of the quasicircle Γ = ρ ( R ) , and that this condition on μ characterizes C 1 + α curves.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0950e8c79b5650d66f25d2a32b8975a2 https://doi.org/10.1016/j.jmaa.2014.02.019 Zobrazit plný text záznamu Full Text from ScienceDirect