Displaying similar documents to “Teichmüller spaces with variable bases in the universal Teichmüller space.”

An inverse Sobolev lemma.

Pekka Koskela (1994)

Revista Matemática Iberoamericana

Similarity:

We establish an inverse Sobolev lemma for quasiconformal mappings and extend a weaker version of the Sobolev lemma for quasiconformal mappings of the unit ball of R to the full range 0 < p < n. As an application we obtain sharp integrability theorems for the derivative of a quasiconformal mapping of the unit ball of R in terms of the growth of the mapping.