Weighted Hardy Spaces of Quasiconformal Mappings
We establish a weighted version of the $H^p$-theory of quasiconformal mappings.
math.CV↗
arXiv subjects
Sita Benedict
Publications and source records attributed to Sita Benedict.
Hardy-Orlicz spaces of conformal densities
We define and prove characterizations of Hardy-Orlicz spaces of conformal densities.
math.CA↗
Characterizations of Hardy-Orlicz spaces of quasiconformal mappings
An H^p-theory of quasiconformal mappings on B^n has already been established. By replacing t^p with a general increasing growth function ψ(t) we define the Hardy-Orlicz spaces of quasiconformal mappings and prove various characterizations of these spaces.
math.CA↗
Intrinsic Hardy-Orlicz spaces of conformal mappings
We define a new type of Hardy-Orlicz spaces of conformal mappings on the unit disk where in place of the value |f(x)| we consider the intrinsic path distance between f(x) and f(0) in the image domain. We show that if the Orlicz function is doubling then these two spaces are actually the same, and we give an example when the intrinsic Hardy-Orlicz space is strictly smaller.
math.CV↗