Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A geometric approach to accretivity

100%

Kovalev L.

Studia Mathematica

2007

tom 181

nr 1

87-100

We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.

Variation of quasiconformal mappings on lines

63%

Kovalev L., Onninen J.

Studia Mathematica

2009

tom 195

nr 3

257-274

We obtain improved regularity of homeomorphic solutions of the reduced Beltrami equation, as compared to the standard Beltrami equation. Such an improvement is not possible in terms of Hölder or Sobolev regularity; instead, our results concern the generalized variation of restrictions to lines. Specifically, we prove that the restriction to any line segment has finite p-variation for all p > 1 but not necessarily for p = 1.

Ograniczanie wyników

2 Studia Mathematica

2 Kovalev L.

1 Onninen J.

1 2009

1 2007

Wyniki wyszukiwania

A geometric approach to accretivity

Variation of quasiconformal mappings on lines