Sobolev Space Estimates and Symbolic Calculus for Bilinear Pseudodifferential Operators
Publication Date
2006
Journal or Book Title
JOURNAL OF GEOMETRIC ANALYSIS
Abstract
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful in the study of their boundedness properties are developed. In particular, several classes of symbols for bilinear operators beyond the so-called Coifman-Meyer class are considered. Some of the Sobolev space estimates obtained apply to both the bilinear Hilbert transform and its singular multipliers generalizations as well as to operators with variable dependent symbols. A symbolic calculus for the transposes of bilinear pseudodifferential operators and for the composition of linear and bilinear pseudodifferential operators is presented too.
Pages
431-453
Volume
16
Issue
3
Recommended Citation
Benyi, Arpad; Nahmod, Andrea R.; and Torres, Rodolpho H., "Sobolev Space Estimates and Symbolic Calculus for Bilinear Pseudodifferential Operators" (2006). JOURNAL OF GEOMETRIC ANALYSIS. 738.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/738
Comments
Publisher's version here:
http://link.springer.com/article/10.1007/BF02922061