Boundedness criterion for multilinear oscillatory integrals with rough kernels
We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.
We study a multilinear oscillatory integral with rough kernel and establish a boundedness criterion.
We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.
Page 1