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Construction of quadrature domains inRnfrom quadrature domains inR2

 

作者: Lavi Karp,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1992）
卷期: Volume 17, issue 3-4  

页码: 179-188

 

ISSN:0278-1077

 

年代: 1992

 

DOI:10.1080/17476939208814510

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30E99;35E15;35JOS

 

数据来源: Taylor

 

摘要:

We construct some quadrature domains (q.d.) inR4, andR3from q.d. inR2. We obtain a q.d. inR4by taking a certain symmetric q.d.D⊂R2, and rotating it inR4. For a q.d.D⊂R2whose corresponding distributionThas an order ≥ 1, we show that Ω =D×R1is a q.d. inR3, with distribution equal toT&dx⊗3.

 

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