Authors: | Arsenović, Miloš Božin, Vladimir Todorčević, Vesna |
Title: | Moduli of Continuity of Harmonic Quasiregular Mappings in Bn | Journal: | Potential Analysis | Volume: | 34 | Issue: | 3 | First page: | 283 | Last page: | 291 | Issue Date: | 1-Apr-2011 | Rank: | M21 | ISSN: | 0926-2601 | DOI: | 10.1007/s11118-010-9195-8 | Abstract: | We prove that ωu(δ) ≤ Cωf(δ), where B̄ → ℝn is the harmonic extension of a continuous map f:Sn-1 → ℝn, if u is a K-quasiregular map. Here C is a constant depending only on n, ωf and K and ωh denotes the modulus of continuity of h. |
Keywords: | Harmonic mappings | Modulus of continuity | Quasiregular mappings | Publisher: | Springer Link |
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