Asymptotic Distortion Bounds for Ring Q-Homeomorphisms with Respect to p-Modulus
A geometric-function-theory result giving lower bounds for the limit superior of the distance distortion, near the origin, of ring Q-homeomorphisms in R^n taken with respect to the p-modulus of curve families in the regime p > n. The estimates are equivalent to Holder-continuity bounds on the inverse mappings near the origin, and their sharpness is demonstrated by an explicit example. The work extends the modulus method of quasiconformal-type mapping theory to the p > n setting, quantifying how such mappings can compress or expand distances at a point.
Asymptotics of Ring Q-Homeomorphisms with Respect to p-Modulus near the Origin
A geometric-function-theory paper on distortion estimates for mappings in R^n (n >= 2). It studies the class of ring Q-homeomorphisms with respect to the p-modulus of curve families in the regime p >…