Abstract
We investigate a variant of the Beurling–Ahlfors extension of quasisymmetric homeomorphisms of the real line that is given by the convolution of the heat kernel, and prove that the complex dilatation of such a quasiconformal extension of a strongly symmetric homeomorphism (that is, its derivative is an (Formula presented.) -weight whose logarithm is in VMO) induces a vanishing Carleson measure on the upper half-plane.
Original language | English |
---|---|
Pages (from-to) | 723-739 |
Number of pages | 17 |
Journal | Bulletin of the London Mathematical Society |
Volume | 53 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2021 Jun |
Keywords
- 26A46 (secondary)
- 30C62
- 30H35
- 42A45 (primary)
ASJC Scopus subject areas
- Mathematics(all)