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e-mail: alex@math.nsc.ru 514.772, 517.938
 

Summary: 
, .. 1
. .
. . .

e-mail: alex@math.nsc.ru
514.772, 517.938
: , , ,
, .

1968 . . :
f : R2 R2 C1, det f (x) < 0 x R2. , -
, a = a(x) > 0 -
C1, C2 , x, y R2
|1/a(x)-1/a(y)| C1|x-y|+C2 | det f (x)| a(x)|rot f(x)|+a2(x). f(R2)
f R2 f(R2) .
rot f(x) f x R2.
, -
, ,

  

Source: Alexandrov, Victor - Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk

 

Collections: Mathematics