0000000000542957

AUTHOR

Sita Benedict

Hardy-Orlicz Spaces of conformal densities

We define and prove characterizations of Hardy-Orlicz spaces of conformal densities.

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Weighted Hardy Spaces of Quasiconformal Mappings

We establish a weighted version of the $H^p$-theory of quasiconformal mappings.

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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.

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