Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators

2006 ◽  
Vol 16 (3) ◽  
pp. 431-453 ◽  
Author(s):  
Árpád Bényi ◽  
Andrea R. Nahmod ◽  
Rodolfo H. Torres
Keyword(s):  
Sobolev Space ◽  
Pseudodifferential Operators ◽  
Symbolic Calculus ◽  
Bilinear Pseudodifferential Operators

scholarly journals On a Class of Bilinear Pseudodifferential Operators

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Árpád Bényi ◽  
Tadahiro Oh
Keyword(s):  
Pseudodifferential Operators ◽  
Direct Proof ◽  
Bilinear Pseudodifferential Operators

We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander classBS1,δ0,0≤δ<1. The proof uses a reduction to bilinear elementary symbols and Littlewood-Paley theory.

scholarly journals On the Hormander classes of bilinear pseudodifferential operators II

2013 ◽  
Vol 62 (6) ◽  
pp. 1733-1764 ◽  
Author(s):  
Arpad Benyi ◽  
Frederic Bernicot ◽  
Diego Maldonado ◽  
Virginia Naibo ◽  
Rodolfo H. Torres
Keyword(s):  
Pseudodifferential Operators ◽  
Bilinear Pseudodifferential Operators

scholarly journals On the Hörmander Classes of Bilinear Pseudodifferential Operators

2010 ◽  
Vol 67 (3) ◽  
pp. 341-364 ◽  
Author(s):  
Árpád Bényi ◽  
Diego Maldonado ◽  
Virginia Naibo ◽  
Rodolfo H. Torres
Keyword(s):  
Pseudodifferential Operators ◽  
Bilinear Pseudodifferential Operators
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