Weighted boundedness of multilinear pseudo-differential operators-Reference-Cited by-同舟云学术

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Weighted boundedness of multilinear pseudo-differential operators

Published:2021 Issue:11 Volume:6 Page:12698-12712
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Chen Dazhao,

Abstract

<abstract><p>In this paper, the weighted boundedness for some multilinear operators generated by the pseudo-differential operators and the weighted Lipschitz functions are obtained.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference23 articles.

1. S. Bloom, A commutator theorem and weighted $BMO$, Trans. Amer. Math. Soc., 292 (1985), 103–122.

2. S. Chanillo, A note on commutators, Indiana Univ. Math. J., 31 (1982), 7–16.

3. S. Chanillo, A. Torchinsky, Sharp function and weighted $L^p$ estimates for a class of pseudo-differential operators, Ark. Math., 24 (1986), 1–25.

4. W. G. Chen, Besov estimates for a class of multilinear singular integrals, Acta Math. Sinica, 16 (2000), 613–626.

5. J. Cohen, A sharp estimate for a multilinear singular integral on $R^n$, Indiana Univ. Math. J., 30 (1981), 693–702.

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