Abstract: We define a family of mappings depending on two real parameters $ n-1 \leq q \leq p <\infty $ and a weighted function $ \theta $. In the case $ q = p = n $ and $ \theta \equiv1 $ we obtain the well-known mappings with bounded distortion. Mappings of two-indexed scale inherit many properties of the latter ones. They can be used for solving some problems of global analysis and some applied problems as well.

Cite: Vodopyanov S.
QUASICONFORMAL ANALYSIS OF TWO-INDEXED SCALE OF MAPPINGS AND APPLICATIONS
International Conference Complex Analysis and its Applications 02-09 июн. 2018