Parabolic Singular Integrals and Uniformly Rectifiable Sets in the Parabolic Sense
Parabolic Singular Integrals and Uniformly Rectifiable Sets in the Parabolic Sense
复制标题
抛物线意义上的抛物奇异积分和一致可整流集
DOI：
--
复制
发表时间：
2011
影响因子：
1.1
通讯作者：
J. Rivera
中科院分区：
文献类型：
--
作者：
J. Rivera
设E是（n+1）维欧氏空间中具有抛物齐性、余维为1的子集，并有一个适当的曲面测度σ，对某些抛物Calderón-Zygmund算子T，我们证明了T的L2（E，dσ）-有界性等价于E的抛物一致可求直性.这是G.大卫和S.塞姆斯
Let E be a subset in (n+1)-dimensional Euclidean space with parabolic homogeneity, codimension 1, and with an appropriate surface measure σ associated with it. For certain kinds of parabolic Calderón–Zygmund operators T we prove that the L2(E,dσ)-boundedness of T is equivalent to the parabolic uniform rectifiability of E. This is a parabolic version of a well-known result of G. David and S. Semmes.