Open Access
August 2009 Change of variables for weighted Hardy spaces on a domain
Akihiko MIYACHI
Hokkaido Math. J. 38(3): 519-555 (August 2009). DOI: 10.14492/hokmj/1258553975

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.

Citation

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Akihiko MIYACHI. "Change of variables for weighted Hardy spaces on a domain." Hokkaido Math. J. 38 (3) 519 - 555, August 2009. https://doi.org/10.14492/hokmj/1258553975

Information

Published: August 2009
First available in Project Euclid: 18 November 2009

zbMATH: 1186.42011
MathSciNet: MR2548234
Digital Object Identifier: 10.14492/hokmj/1258553975

Subjects:
Primary: 42B30
Secondary: ‎46E99

Keywords: conformal mapping , weighted Hardy space

Rights: Copyright © 2009 Hokkaido University, Department of Mathematics

Vol.38 • No. 3 • August 2009
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