Concepedia

Hardy-Littlewood theorems for $A$-harmonic tensors

Craig A. Nolder

Illinois Journal of Mathematics · 1999 · 117 citations · 8 references

DOIFull text

Open access

Concepts

Abstract

Conjugate $A$-harmonic tensors are generalizations of conjugate harmonic functions to differential forms. They share common analytical properties such as integrability and Holder continuity. Applications to quasiregular mappings follow.

References

8

Injectivity theorems in plane and space

Jukka Sarvas · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 1979 · 444 citations · Full text

, , +4

Analytical foundations of the theory of quasiconformal mappings in R^n

Bogdan Bojarski, Tadeusz Iwaniec · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 1983 · 264 citations · Full text

, , +7

Quasiregular mappings in even dimensions

Tadeusz Iwaniec, Gaven Martin · Acta Mathematica · 1993 · 225 citations · Full text

, , +7

Integral estimates for null Lagrangians

Tadeusz Iwaniec, Adam Lutoborski · Archive for Rational Mechanics and Analysis · 1993 · 221 citations

, , +10

Some properties of conjugate functions.

J. E. Littlewood, G. H. Hardy · Journal für die reine und angewandte Mathematik (Crelles Journal) · 1932 · 134 citations

, , +1