期刊
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 354, 期 3, 页码 1153-1176出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-01-02912-9
关键词
singular integrals; maximal functions; Littlewood-Paley theory; almost diagonal condition; multilinear operators; wavelets; Triebel-Lizorkin spaces
类别
Using discrete decomposition techniques, bilinear operators are naturally associated with trilinear tensors. An intrinsic size condition on the entries of such tensors is introduced and is used to prove boundedness for the corresponding bilinear operators on several products of function spaces. This condition should be considered as the direct analogue of an almost diagonal condition for linear operators of Calderon-Zygmund type. Applications include a reduced T1 theorem for bilinear pseudodifferential operators and the extension of an L-p multiplier result of Coifman and Meyer to the full range of H-p spaces. The results of this article rely on decomposition techniques developed by Frazier and Jawerth and on the vector valued maximal function estimate of Fefferman and Stein.
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