Istvan PRAUSE
Istvan PRAUSE
Istvan PRAUSE
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
BILIPSCHITZ ROTATION<br />
VERSUS<br />
QUASICONFORMAL STRETCHING<br />
István Prause<br />
joint work with<br />
Kari Astala, Tadeusz Iwaniec, Eero Saksman<br />
Tenerife, March 2012
Stretching vs Rotation<br />
stretching rotation<br />
quasiconformal bilipschitz<br />
Grötzsch problem John’s problem<br />
Hölder exponent rate of spiralling<br />
log J(z,f) BMO arg f BMO<br />
higher integrability exponential integrability<br />
multifractal ctal spectrum sp<br />
z
K-quasiconformal<br />
stretching bounds<br />
“complexify”<br />
Proofs<br />
rotation & stretching<br />
specialize<br />
quasiconformal category<br />
L-bilipschitz<br />
L-quasiconformal &<br />
no stretching
Thank you<br />
Courtesy of D. Marshall
Change language