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On Approximations of quasiconformal mappings
Complex Variables, Theory and Application: An International Journal, 1984Let (fn ) be a sequence of K−qc mappings of a domain G which tends locally uniformly to a mapping f≠ const. Then it is known that f is K – qc in G. It is shown that the local dilatations Dn(z) and D(z) satisfy a.e. in G. If there is equality on a set of positive measure E ⊃ G, there exists a subsequence (fn1 ) which is a good approximation of fon E ...
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Harmonic, locally quasiconformal mappings
1995Summary: Classes \(H(\alpha,K)\) of functions \(f(z)=h(z)+\overline{g(z)}\), which are harmonic in \(\Delta=\{z:| z| < 1\}\) (\(h(z)\) and \(g(z)\) are regular in \(\Delta\)), preserve the orientation \((J(z)>0)\), are \(K\)-quasiconformal in \(\Delta\), are considered, where \(f(0)=0\), \(h(0)+\overline {g'(0)}=1\), \(\frac{h(z)}{h'(0)}\) belongs to a
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Mapping genomic loci implicates genes and synaptic biology in schizophrenia
Nature, 2022Vassily Trubetskoy +2 more
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Mapping the genomic diaspora of gastric cancer
Nature Reviews Cancer, 2021Khay-Guan Yeoh, Patrick Tan
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A systemic approach to mapping participation with low-carbon energy transitions
Nature Energy, 2021Jason Chilvers +2 more
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mTOR at the nexus of nutrition, growth, ageing and disease
Nature Reviews Molecular Cell Biology, 2020Grace Y Liu, David M Sabatini
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