# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 38 (2009) pp.519-555

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### Abstract

A generalized version of weighted Hardy spaces on a Euclidean domain is introduced and it is proved that the spaces are transformed to the same kind of spaces by certain smooth change of variables. Some related properties of the spaces, including a modified form of atomic decomposition, and some examples are also given.

MSC(Primary) 42B30 46E99 weighted Hardy space, conformal mapping.