Sufficient Conditions for Integrability of Distortion Function Kf 1
Assume that , are planar domains and is a homeomorphism belonging to Sobolev space with finite distortion. We prove that if the distortion function of satisfies the condition , then the distortion function of belongs to . We show that this result is sharp in sense that the conclusion fails if . Moreover, we prove that if the distortion function satisfies the condition for some , then belongs to for every . As special case of this result we show that if the distortion...