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 |
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Journal | Bulletin of the London Mathematical Society |
DOIs | |
Publication status | Accepted/In press - 2021 |
Keywords
- 26A46 (secondary)
- 30C62
- 30H35
- 42A45 (primary)
ASJC Scopus subject areas
- Mathematics(all)