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
Doctor of PhilosophyDepartment of MathematicsVirginia NaiboInvestigations of pseudodifferential oper...
AbstractIn this paper we investigate Lp and Sobolev boundedness of a certain class of pseudodifferen...
We introduce a class of bilinear localization operators and show how to interpret them as bilinear W...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
The reappearance of what is sometimes called exotic behavior for linear and multilinear pseudodiffer...
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander class...
In this short note, we consider the bilinear pseudo-differential operators with symbols belonging to...
We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bi...
Abstract In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators asso...
AbstractWe show that bilinear pseudodifferential operators with symbols in the forbidden class are b...
Doctor of PhilosophyDepartment of MathematicsVirginia NaiboInvestigations of pseudodifferential oper...
Doctor of PhilosophyDepartment of MathematicsVirginia NaiboInvestigations of pseudodifferential oper...
AbstractIn this paper we investigate Lp and Sobolev boundedness of a certain class of pseudodifferen...
We introduce a class of bilinear localization operators and show how to interpret them as bilinear W...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful i...
The reappearance of what is sometimes called exotic behavior for linear and multilinear pseudodiffer...
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander class...
In this short note, we consider the bilinear pseudo-differential operators with symbols belonging to...
We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bi...
Abstract In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators asso...
AbstractWe show that bilinear pseudodifferential operators with symbols in the forbidden class are b...
Doctor of PhilosophyDepartment of MathematicsVirginia NaiboInvestigations of pseudodifferential oper...
Doctor of PhilosophyDepartment of MathematicsVirginia NaiboInvestigations of pseudodifferential oper...
AbstractIn this paper we investigate Lp and Sobolev boundedness of a certain class of pseudodifferen...
We introduce a class of bilinear localization operators and show how to interpret them as bilinear W...