Besov Spaces, Symbolic Calculus, and Boundedness of Bilinear Pseudodifferential Operators

被引：6

作者：

Herbert, Jodi ^{[1
]}

Naibo, Virginia ^{[2
]}

机构：

[1] Maranatha Baptist Univ, 745 W Main St, Watertown, WI 53094 USA

[2] Kansas State Univ, Dept Math, 138 Cardwell Hall, Manhattan, KS 66506 USA

来源：

HARMONIC ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, COMPLEX ANALYSIS, BANACH SPACES, AND OPERATOR THEORY, VOL 1: CELEBRATING CORA SADOSKY'S LIFE | 2016年 / 4卷

关键词：

FOURIER MULTIPLIERS; SMOOTHNESS;

D O I：

10.1007/978-3-319-30961-3_14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Mapping properties of bilinear pseudodifferential operators with symbols of limited smoothness in terms of Besov norms are proved in the context of Lebesgue spaces. Techniques used include the development of a symbolic calculus for certain classes of symbols considered.

引用

页码：275 / 305

页数：31

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