A JORDAN SOBOLEV EXTENSION DOMAIN

作者：Koskela, Pekka; Yang, Dachun; Zhou, Yuan^*

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2010, 35(1): 309-320.

DOI：10.5186/aasfm.2010.3519

• Sobolev space
• Sobolev extension
• planar Lipschitz extension domain

Let 1 < q < 2. In this paper, we construct a Jordan domain G(q) subset of R(2) such that G(q) is an element of Ext(p) if and only if 1 <= p < q, and R(2) \ <(G)over bar>(q), is an element of Ext(s) if and only if q/(q - 1) < s <= infinity.

• 出版日期2010
• 单位北京师范大学