We consider bounded, simply connected domains in the complex plane with Lipschitz or chord-arc boundary and we show that the range of the Cauchy transform operator for such domains can be represented in terms of the classical Hardy spaces. This repre- sentation is motivated by several applications to the theory of partial differential equations.
Loredana Lanzani (1998). Cauchy transform and Hardy spaces for rough planar domains.. Providence : American Mathematical Society.
Cauchy transform and Hardy spaces for rough planar domains.
Loredana Lanzani
1998
Abstract
We consider bounded, simply connected domains in the complex plane with Lipschitz or chord-arc boundary and we show that the range of the Cauchy transform operator for such domains can be represented in terms of the classical Hardy spaces. This repre- sentation is motivated by several applications to the theory of partial differential equations.File in questo prodotto:
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