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Media type:
E-Article
Title:
H1Boundedness of Determinants of Vector Fields
Contributor:
Grafakos, Loukas
Published:
American Mathematical Society, 1997
Published in:
Proceedings of the American Mathematical Society, 125 (1997) 11, Seite 3279-3288
Language:
English
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
We consider multilinear operators T(f1, ..., fl) given by determinants of matrices of the form (Xkf j)1 ≤ j, k ≤ l, where the Xk's are C∞vector fields on Rn. We give conditions on the Xk's so that the corresponding operator T maps products of Lebesgue spaces Lp1 × ⋯ × Lpl into some anisotropic space H1, when 1/p1+ ⋯ + 1/pl= 1.