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Quasiregular mappings in even dimensions

Tadeusz Iwaniec, Gaven Martin

Acta Mathematica · 1993 · 222 citations · 19 references

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Concepts

Abstract

O. Introduction 1. Notation 2. Some exterior algebra 3. Differential forms in Lnm (i2, A n) 4. Differential systems for quasiregular mappings 5. Liouville Theorem in even dimensions 6. Hodge theory in LP(R n) 7. The Beltrami equation in even dimensions 8.The Beurling-Ahlfors operator 9. Regularity theorems for quasiregular mappings 10.The Caccioppoli type estimate 11.Removability theorems for quasiregular mappings 12.Some examples Appendix: The 4-dimensional case

References

19

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F. W. Gehring · Acta Mathematica · 1973 · 774 citations · Full text

, , +6

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, , +1

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, , +1

Conformal invariants and function-theoretic null-sets

Lars V. Ahlfors, Arne Beurling · Acta Mathematica · 1950 · 409 citations · Full text

Definitions for quasiregular mappings

Seppo Rickman · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 1969 · 301 citations

, , +2